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Finding the Fourth Proportional to 871.52, 1,306.30 and 459.77

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Solution

The fourth proportional to 871.52, 1,306.30 and 459.77 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.52 : 1,306.30 = 459.77 : x
  2. Step 2: Convert to fraction form
    871.52/1,306.30 = 459.77/x
  3. Step 3: Cross multiply
    871.52x = 1,306.30 × 459.77
  4. Step 4: Simplify right side
    871.52x = 600,597.55
  5. Step 5: Solve for x
    x = 600,597.55/871.52
  6. Step 6: Final answer
    x = 689.14

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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.