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Finding the Fourth Proportional to 1,488.11, 2,229.12 and 705.74

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Solution

The fourth proportional to 1,488.11, 2,229.12 and 705.74 is: 1,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.11 : 2,229.12 = 705.74 : x
  2. Step 2: Convert to fraction form
    1,488.11/2,229.12 = 705.74/x
  3. Step 3: Cross multiply
    1,488.11x = 2,229.12 × 705.74
  4. Step 4: Simplify right side
    1,488.11x = 1,573,179.15
  5. Step 5: Solve for x
    x = 1,573,179.15/1,488.11
  6. Step 6: Final answer
    x = 1,057.17

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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.