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Finding the Fourth Proportional to 871.89, 1,306.23 and 506.01

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Solution

The fourth proportional to 871.89, 1,306.23 and 506.01 is: 758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.89 : 1,306.23 = 506.01 : x
  2. Step 2: Convert to fraction form
    871.89/1,306.23 = 506.01/x
  3. Step 3: Cross multiply
    871.89x = 1,306.23 × 506.01
  4. Step 4: Simplify right side
    871.89x = 660,965.44
  5. Step 5: Solve for x
    x = 660,965.44/871.89
  6. Step 6: Final answer
    x = 758.08

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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.