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Finding the Fourth Proportional to 731.02, 1,097.16 and 487.84

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Solution

The fourth proportional to 731.02, 1,097.16 and 487.84 is: 732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.02 : 1,097.16 = 487.84 : x
  2. Step 2: Convert to fraction form
    731.02/1,097.16 = 487.84/x
  3. Step 3: Cross multiply
    731.02x = 1,097.16 × 487.84
  4. Step 4: Simplify right side
    731.02x = 535,238.53
  5. Step 5: Solve for x
    x = 535,238.53/731.02
  6. Step 6: Final answer
    x = 732.18

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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.