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Finding the Fourth Proportional to 871.52, 1,306.74 and 294.26

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Solution

The fourth proportional to 871.52, 1,306.74 and 294.26 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.52 : 1,306.74 = 294.26 : x
  2. Step 2: Convert to fraction form
    871.52/1,306.74 = 294.26/x
  3. Step 3: Cross multiply
    871.52x = 1,306.74 × 294.26
  4. Step 4: Simplify right side
    871.52x = 384,521.31
  5. Step 5: Solve for x
    x = 384,521.31/871.52
  6. Step 6: Final answer
    x = 441.21

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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.