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Finding the Fourth Proportional to 871.74, 1,306.44 and 460.44

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Solution

The fourth proportional to 871.74, 1,306.44 and 460.44 is: 690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.74 : 1,306.44 = 460.44 : x
  2. Step 2: Convert to fraction form
    871.74/1,306.44 = 460.44/x
  3. Step 3: Cross multiply
    871.74x = 1,306.44 × 460.44
  4. Step 4: Simplify right side
    871.74x = 601,537.23
  5. Step 5: Solve for x
    x = 601,537.23/871.74
  6. Step 6: Final answer
    x = 690.04

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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.