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Finding the Fourth Proportional to 872.34, 1,306.86 and 460.86

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Solution

The fourth proportional to 872.34, 1,306.86 and 460.86 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.34 : 1,306.86 = 460.86 : x
  2. Step 2: Convert to fraction form
    872.34/1,306.86 = 460.86/x
  3. Step 3: Cross multiply
    872.34x = 1,306.86 × 460.86
  4. Step 4: Simplify right side
    872.34x = 602,279.50
  5. Step 5: Solve for x
    x = 602,279.50/872.34
  6. Step 6: Final answer
    x = 690.42

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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.