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Finding the Fourth Proportional to 872.20, 1,306.14 and 654.76

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Solution

The fourth proportional to 872.20, 1,306.14 and 654.76 is: 980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.20 : 1,306.14 = 654.76 : x
  2. Step 2: Convert to fraction form
    872.20/1,306.14 = 654.76/x
  3. Step 3: Cross multiply
    872.20x = 1,306.14 × 654.76
  4. Step 4: Simplify right side
    872.20x = 855,208.23
  5. Step 5: Solve for x
    x = 855,208.23/872.20
  6. Step 6: Final answer
    x = 980.52

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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.