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Finding the Fourth Proportional to 1,488.49, 2,231.17 and 611.57

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Solution

The fourth proportional to 1,488.49, 2,231.17 and 611.57 is: 916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.49 : 2,231.17 = 611.57 : x
  2. Step 2: Convert to fraction form
    1,488.49/2,231.17 = 611.57/x
  3. Step 3: Cross multiply
    1,488.49x = 2,231.17 × 611.57
  4. Step 4: Simplify right side
    1,488.49x = 1,364,520.69
  5. Step 5: Solve for x
    x = 1,364,520.69/1,488.49
  6. Step 6: Final answer
    x = 916.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.