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Finding the Fourth Proportional to 1,079.44, 1,488.96 and 747.88

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Solution

The fourth proportional to 1,079.44, 1,488.96 and 747.88 is: 1,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.44 : 1,488.96 = 747.88 : x
  2. Step 2: Convert to fraction form
    1,079.44/1,488.96 = 747.88/x
  3. Step 3: Cross multiply
    1,079.44x = 1,488.96 × 747.88
  4. Step 4: Simplify right side
    1,079.44x = 1,113,563.40
  5. Step 5: Solve for x
    x = 1,113,563.40/1,079.44
  6. Step 6: Final answer
    x = 1,031.61

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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.