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Finding the Fourth Proportional to 732.35, 1,097.76 and 457.81

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Solution

The fourth proportional to 732.35, 1,097.76 and 457.81 is: 686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.35 : 1,097.76 = 457.81 : x
  2. Step 2: Convert to fraction form
    732.35/1,097.76 = 457.81/x
  3. Step 3: Cross multiply
    732.35x = 1,097.76 × 457.81
  4. Step 4: Simplify right side
    732.35x = 502,559.84
  5. Step 5: Solve for x
    x = 502,559.84/732.35
  6. Step 6: Final answer
    x = 686.23

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