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Finding the Fourth Proportional to 731.84, 1,098.26 and 500.92

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Solution

The fourth proportional to 731.84, 1,098.26 and 500.92 is: 751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.84 : 1,098.26 = 500.92 : x
  2. Step 2: Convert to fraction form
    731.84/1,098.26 = 500.92/x
  3. Step 3: Cross multiply
    731.84x = 1,098.26 × 500.92
  4. Step 4: Simplify right side
    731.84x = 550,137.03
  5. Step 5: Solve for x
    x = 550,137.03/731.84
  6. Step 6: Final answer
    x = 751.72

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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.