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Finding the Fourth Proportional to 871.42, 1,306.71 and 506.32

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Solution

The fourth proportional to 871.42, 1,306.71 and 506.32 is: 759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.42 : 1,306.71 = 506.32 : x
  2. Step 2: Convert to fraction form
    871.42/1,306.71 = 506.32/x
  3. Step 3: Cross multiply
    871.42x = 1,306.71 × 506.32
  4. Step 4: Simplify right side
    871.42x = 661,613.41
  5. Step 5: Solve for x
    x = 661,613.41/871.42
  6. Step 6: Final answer
    x = 759.24

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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.