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Finding the Fourth Proportional to 782.74, 1,080.55 and 534.47

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Solution

The fourth proportional to 782.74, 1,080.55 and 534.47 is: 737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.74 : 1,080.55 = 534.47 : x
  2. Step 2: Convert to fraction form
    782.74/1,080.55 = 534.47/x
  3. Step 3: Cross multiply
    782.74x = 1,080.55 × 534.47
  4. Step 4: Simplify right side
    782.74x = 577,521.56
  5. Step 5: Solve for x
    x = 577,521.56/782.74
  6. Step 6: Final answer
    x = 737.82

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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.