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Finding the Fourth Proportional to 872.56, 1,306.68 and 597.70

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Solution

The fourth proportional to 872.56, 1,306.68 and 597.70 is: 895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.56 : 1,306.68 = 597.70 : x
  2. Step 2: Convert to fraction form
    872.56/1,306.68 = 597.70/x
  3. Step 3: Cross multiply
    872.56x = 1,306.68 × 597.70
  4. Step 4: Simplify right side
    872.56x = 781,002.64
  5. Step 5: Solve for x
    x = 781,002.64/872.56
  6. Step 6: Final answer
    x = 895.07

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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.