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Finding the Fourth Proportional to 1,150.20, 1,587.98 and 708.70

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Solution

The fourth proportional to 1,150.20, 1,587.98 and 708.70 is: 978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.20 : 1,587.98 = 708.70 : x
  2. Step 2: Convert to fraction form
    1,150.20/1,587.98 = 708.70/x
  3. Step 3: Cross multiply
    1,150.20x = 1,587.98 × 708.70
  4. Step 4: Simplify right side
    1,150.20x = 1,125,401.43
  5. Step 5: Solve for x
    x = 1,125,401.43/1,150.20
  6. Step 6: Final answer
    x = 978.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.