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Finding the Fourth Proportional to 1,488.18, 2,233.72 and 708.70

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Solution

The fourth proportional to 1,488.18, 2,233.72 and 708.70 is: 1,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.18 : 2,233.72 = 708.70 : x
  2. Step 2: Convert to fraction form
    1,488.18/2,233.72 = 708.70/x
  3. Step 3: Cross multiply
    1,488.18x = 2,233.72 × 708.70
  4. Step 4: Simplify right side
    1,488.18x = 1,583,037.36
  5. Step 5: Solve for x
    x = 1,583,037.36/1,488.18
  6. Step 6: Final answer
    x = 1,063.74

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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.