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Finding the Fourth Proportional to 731.51, 1,097.52 and 457.28

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Solution

The fourth proportional to 731.51, 1,097.52 and 457.28 is: 686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.51 : 1,097.52 = 457.28 : x
  2. Step 2: Convert to fraction form
    731.51/1,097.52 = 457.28/x
  3. Step 3: Cross multiply
    731.51x = 1,097.52 × 457.28
  4. Step 4: Simplify right side
    731.51x = 501,874.72
  5. Step 5: Solve for x
    x = 501,874.72/731.51
  6. Step 6: Final answer
    x = 686.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.