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Finding the Fourth Proportional to 781.38, 1,077.86 and 497.28

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Solution

The fourth proportional to 781.38, 1,077.86 and 497.28 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.38 : 1,077.86 = 497.28 : x
  2. Step 2: Convert to fraction form
    781.38/1,077.86 = 497.28/x
  3. Step 3: Cross multiply
    781.38x = 1,077.86 × 497.28
  4. Step 4: Simplify right side
    781.38x = 535,995.73
  5. Step 5: Solve for x
    x = 535,995.73/781.38
  6. Step 6: Final answer
    x = 685.96

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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.