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Finding the Fourth Proportional to 1,278.68, 1,764.59 and 747.59

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Solution

The fourth proportional to 1,278.68, 1,764.59 and 747.59 is: 1,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.68 : 1,764.59 = 747.59 : x
  2. Step 2: Convert to fraction form
    1,278.68/1,764.59 = 747.59/x
  3. Step 3: Cross multiply
    1,278.68x = 1,764.59 × 747.59
  4. Step 4: Simplify right side
    1,278.68x = 1,319,177.28
  5. Step 5: Solve for x
    x = 1,319,177.28/1,278.68
  6. Step 6: Final answer
    x = 1,031.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.