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Finding the Fourth Proportional to 871.27, 1,306.57 and 286.13

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Solution

The fourth proportional to 871.27, 1,306.57 and 286.13 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.27 : 1,306.57 = 286.13 : x
  2. Step 2: Convert to fraction form
    871.27/1,306.57 = 286.13/x
  3. Step 3: Cross multiply
    871.27x = 1,306.57 × 286.13
  4. Step 4: Simplify right side
    871.27x = 373,848.87
  5. Step 5: Solve for x
    x = 373,848.87/871.27
  6. Step 6: Final answer
    x = 429.08

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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.