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Finding the Fourth Proportional to 926.48, 1,387.68 and 787.97

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Solution

The fourth proportional to 926.48, 1,387.68 and 787.97 is: 1,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.48 : 1,387.68 = 787.97 : x
  2. Step 2: Convert to fraction form
    926.48/1,387.68 = 787.97/x
  3. Step 3: Cross multiply
    926.48x = 1,387.68 × 787.97
  4. Step 4: Simplify right side
    926.48x = 1,093,443.27
  5. Step 5: Solve for x
    x = 1,093,443.27/926.48
  6. Step 6: Final answer
    x = 1,180.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.