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Finding the Fourth Proportional to 1,138.14, 1,703.40 and 862.70

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Solution

The fourth proportional to 1,138.14, 1,703.40 and 862.70 is: 1,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.14 : 1,703.40 = 862.70 : x
  2. Step 2: Convert to fraction form
    1,138.14/1,703.40 = 862.70/x
  3. Step 3: Cross multiply
    1,138.14x = 1,703.40 × 862.70
  4. Step 4: Simplify right side
    1,138.14x = 1,469,523.18
  5. Step 5: Solve for x
    x = 1,469,523.18/1,138.14
  6. Step 6: Final answer
    x = 1,291.16

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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.