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Finding the Fourth Proportional to 871.66, 1,306.67 and 294.13

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Solution

The fourth proportional to 871.66, 1,306.67 and 294.13 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.66 : 1,306.67 = 294.13 : x
  2. Step 2: Convert to fraction form
    871.66/1,306.67 = 294.13/x
  3. Step 3: Cross multiply
    871.66x = 1,306.67 × 294.13
  4. Step 4: Simplify right side
    871.66x = 384,324.31
  5. Step 5: Solve for x
    x = 384,324.31/871.66
  6. Step 6: Final answer
    x = 440.91

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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.