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Finding the Fourth Proportional to 731.69, 1,009.15 and 451.43

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Solution

The fourth proportional to 731.69, 1,009.15 and 451.43 is: 622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.69 : 1,009.15 = 451.43 : x
  2. Step 2: Convert to fraction form
    731.69/1,009.15 = 451.43/x
  3. Step 3: Cross multiply
    731.69x = 1,009.15 × 451.43
  4. Step 4: Simplify right side
    731.69x = 455,553.28
  5. Step 5: Solve for x
    x = 455,553.28/731.69
  6. Step 6: Final answer
    x = 622.60

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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.