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Finding the Fourth Proportional to 781.97, 1,077.87 and 615.96

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Solution

The fourth proportional to 781.97, 1,077.87 and 615.96 is: 849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.97 : 1,077.87 = 615.96 : x
  2. Step 2: Convert to fraction form
    781.97/1,077.87 = 615.96/x
  3. Step 3: Cross multiply
    781.97x = 1,077.87 × 615.96
  4. Step 4: Simplify right side
    781.97x = 663,927.12
  5. Step 5: Solve for x
    x = 663,927.12/781.97
  6. Step 6: Final answer
    x = 849.05

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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.