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Finding the Fourth Proportional to 1,278.49, 1,764.31 and 747.74

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Solution

The fourth proportional to 1,278.49, 1,764.31 and 747.74 is: 1,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.49 : 1,764.31 = 747.74 : x
  2. Step 2: Convert to fraction form
    1,278.49/1,764.31 = 747.74/x
  3. Step 3: Cross multiply
    1,278.49x = 1,764.31 × 747.74
  4. Step 4: Simplify right side
    1,278.49x = 1,319,242.62
  5. Step 5: Solve for x
    x = 1,319,242.62/1,278.49
  6. Step 6: Final answer
    x = 1,031.88

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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.