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Finding the Fourth Proportional to 1,079.52, 1,488.42 and 902.76

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Solution

The fourth proportional to 1,079.52, 1,488.42 and 902.76 is: 1,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.52 : 1,488.42 = 902.76 : x
  2. Step 2: Convert to fraction form
    1,079.52/1,488.42 = 902.76/x
  3. Step 3: Cross multiply
    1,079.52x = 1,488.42 × 902.76
  4. Step 4: Simplify right side
    1,079.52x = 1,343,686.04
  5. Step 5: Solve for x
    x = 1,343,686.04/1,079.52
  6. Step 6: Final answer
    x = 1,244.71

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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.