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Finding the Fourth Proportional to 837.70, 1,255.20 and 716.20

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Solution

The fourth proportional to 837.70, 1,255.20 and 716.20 is: 1,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.70 : 1,255.20 = 716.20 : x
  2. Step 2: Convert to fraction form
    837.70/1,255.20 = 716.20/x
  3. Step 3: Cross multiply
    837.70x = 1,255.20 × 716.20
  4. Step 4: Simplify right side
    837.70x = 898,974.24
  5. Step 5: Solve for x
    x = 898,974.24/837.70
  6. Step 6: Final answer
    x = 1,073.15

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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.