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Finding the Fourth Proportional to 927.59, 1,277.16 and 787.43

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Solution

The fourth proportional to 927.59, 1,277.16 and 787.43 is: 1,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.59 : 1,277.16 = 787.43 : x
  2. Step 2: Convert to fraction form
    927.59/1,277.16 = 787.43/x
  3. Step 3: Cross multiply
    927.59x = 1,277.16 × 787.43
  4. Step 4: Simplify right side
    927.59x = 1,005,674.10
  5. Step 5: Solve for x
    x = 1,005,674.10/927.59
  6. Step 6: Final answer
    x = 1,084.18

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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.