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Finding the Fourth Proportional to 871.72, 1,306.14 and 546.28

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Solution

The fourth proportional to 871.72, 1,306.14 and 546.28 is: 818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.72 : 1,306.14 = 546.28 : x
  2. Step 2: Convert to fraction form
    871.72/1,306.14 = 546.28/x
  3. Step 3: Cross multiply
    871.72x = 1,306.14 × 546.28
  4. Step 4: Simplify right side
    871.72x = 713,518.16
  5. Step 5: Solve for x
    x = 713,518.16/871.72
  6. Step 6: Final answer
    x = 818.52

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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.