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Finding the Fourth Proportional to 731.20, 1,092.64 and 524.80

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Solution

The fourth proportional to 731.20, 1,092.64 and 524.80 is: 784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.20 : 1,092.64 = 524.80 : x
  2. Step 2: Convert to fraction form
    731.20/1,092.64 = 524.80/x
  3. Step 3: Cross multiply
    731.20x = 1,092.64 × 524.80
  4. Step 4: Simplify right side
    731.20x = 573,417.47
  5. Step 5: Solve for x
    x = 573,417.47/731.20
  6. Step 6: Final answer
    x = 784.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.