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Finding the Fourth Proportional to 885.20, 1,327.80 and 870.80

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Solution

The fourth proportional to 885.20, 1,327.80 and 870.80 is: 1,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.20 : 1,327.80 = 870.80 : x
  2. Step 2: Convert to fraction form
    885.20/1,327.80 = 870.80/x
  3. Step 3: Cross multiply
    885.20x = 1,327.80 × 870.80
  4. Step 4: Simplify right side
    885.20x = 1,156,248.24
  5. Step 5: Solve for x
    x = 1,156,248.24/885.20
  6. Step 6: Final answer
    x = 1,306.20

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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.