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Finding the Fourth Proportional to 871.27, 1,306.88 and 213.14

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Solution

The fourth proportional to 871.27, 1,306.88 and 213.14 is: 319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.27 : 1,306.88 = 213.14 : x
  2. Step 2: Convert to fraction form
    871.27/1,306.88 = 213.14/x
  3. Step 3: Cross multiply
    871.27x = 1,306.88 × 213.14
  4. Step 4: Simplify right side
    871.27x = 278,547.34
  5. Step 5: Solve for x
    x = 278,547.34/871.27
  6. Step 6: Final answer
    x = 319.70

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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.