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Finding the Fourth Proportional to 1,114.75, 1,537.14 and 814.65

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Solution

The fourth proportional to 1,114.75, 1,537.14 and 814.65 is: 1,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.75 : 1,537.14 = 814.65 : x
  2. Step 2: Convert to fraction form
    1,114.75/1,537.14 = 814.65/x
  3. Step 3: Cross multiply
    1,114.75x = 1,537.14 × 814.65
  4. Step 4: Simplify right side
    1,114.75x = 1,252,231.10
  5. Step 5: Solve for x
    x = 1,252,231.10/1,114.75
  6. Step 6: Final answer
    x = 1,123.33

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Half scale
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Double scale
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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.