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Finding the Fourth Proportional to 870.56, 1,306.16 and 528.80

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Solution

The fourth proportional to 870.56, 1,306.16 and 528.80 is: 793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.56 : 1,306.16 = 528.80 : x
  2. Step 2: Convert to fraction form
    870.56/1,306.16 = 528.80/x
  3. Step 3: Cross multiply
    870.56x = 1,306.16 × 528.80
  4. Step 4: Simplify right side
    870.56x = 690,697.41
  5. Step 5: Solve for x
    x = 690,697.41/870.56
  6. Step 6: Final answer
    x = 793.39

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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.