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Finding the Fourth Proportional to 765.52, 1,053.74 and 544.12

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Solution

The fourth proportional to 765.52, 1,053.74 and 544.12 is: 748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.52 : 1,053.74 = 544.12 : x
  2. Step 2: Convert to fraction form
    765.52/1,053.74 = 544.12/x
  3. Step 3: Cross multiply
    765.52x = 1,053.74 × 544.12
  4. Step 4: Simplify right side
    765.52x = 573,359.73
  5. Step 5: Solve for x
    x = 573,359.73/765.52
  6. Step 6: Final answer
    x = 748.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.