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Finding the Fourth Proportional to 921.78, 1,387.31 and 691.88

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Solution

The fourth proportional to 921.78, 1,387.31 and 691.88 is: 1,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.78 : 1,387.31 = 691.88 : x
  2. Step 2: Convert to fraction form
    921.78/1,387.31 = 691.88/x
  3. Step 3: Cross multiply
    921.78x = 1,387.31 × 691.88
  4. Step 4: Simplify right side
    921.78x = 959,841.65
  5. Step 5: Solve for x
    x = 959,841.65/921.78
  6. Step 6: Final answer
    x = 1,041.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.