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Finding the Fourth Proportional to 732.43, 1,097.70 and 457.84

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Solution

The fourth proportional to 732.43, 1,097.70 and 457.84 is: 686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.43 : 1,097.70 = 457.84 : x
  2. Step 2: Convert to fraction form
    732.43/1,097.70 = 457.84/x
  3. Step 3: Cross multiply
    732.43x = 1,097.70 × 457.84
  4. Step 4: Simplify right side
    732.43x = 502,570.97
  5. Step 5: Solve for x
    x = 502,570.97/732.43
  6. Step 6: Final answer
    x = 686.17

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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.