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Finding the Fourth Proportional to 787.17, 1,086.21 and 565.73

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Solution

The fourth proportional to 787.17, 1,086.21 and 565.73 is: 780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.17 : 1,086.21 = 565.73 : x
  2. Step 2: Convert to fraction form
    787.17/1,086.21 = 565.73/x
  3. Step 3: Cross multiply
    787.17x = 1,086.21 × 565.73
  4. Step 4: Simplify right side
    787.17x = 614,506.34
  5. Step 5: Solve for x
    x = 614,506.34/787.17
  6. Step 6: Final answer
    x = 780.65

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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.