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Finding the Fourth Proportional to 814.51, 1,124.03 and 465.19

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Solution

The fourth proportional to 814.51, 1,124.03 and 465.19 is: 641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.51 : 1,124.03 = 465.19 : x
  2. Step 2: Convert to fraction form
    814.51/1,124.03 = 465.19/x
  3. Step 3: Cross multiply
    814.51x = 1,124.03 × 465.19
  4. Step 4: Simplify right side
    814.51x = 522,887.52
  5. Step 5: Solve for x
    x = 522,887.52/814.51
  6. Step 6: Final answer
    x = 641.97

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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.