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Finding the Fourth Proportional to 1,312.92, 1,810.76 and 814.62

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Solution

The fourth proportional to 1,312.92, 1,810.76 and 814.62 is: 1,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.92 : 1,810.76 = 814.62 : x
  2. Step 2: Convert to fraction form
    1,312.92/1,810.76 = 814.62/x
  3. Step 3: Cross multiply
    1,312.92x = 1,810.76 × 814.62
  4. Step 4: Simplify right side
    1,312.92x = 1,475,081.31
  5. Step 5: Solve for x
    x = 1,475,081.31/1,312.92
  6. Step 6: Final answer
    x = 1,123.51

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.