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Finding the Fourth Proportional to 1,140.40, 1,708.17 and 706.24

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Solution

The fourth proportional to 1,140.40, 1,708.17 and 706.24 is: 1,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.40 : 1,708.17 = 706.24 : x
  2. Step 2: Convert to fraction form
    1,140.40/1,708.17 = 706.24/x
  3. Step 3: Cross multiply
    1,140.40x = 1,708.17 × 706.24
  4. Step 4: Simplify right side
    1,140.40x = 1,206,377.98
  5. Step 5: Solve for x
    x = 1,206,377.98/1,140.40
  6. Step 6: Final answer
    x = 1,057.86

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Why These Related Problems?

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