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Finding the Fourth Proportional to 871.57, 1,202.80 and 478.61

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Solution

The fourth proportional to 871.57, 1,202.80 and 478.61 is: 660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.57 : 1,202.80 = 478.61 : x
  2. Step 2: Convert to fraction form
    871.57/1,202.80 = 478.61/x
  3. Step 3: Cross multiply
    871.57x = 1,202.80 × 478.61
  4. Step 4: Simplify right side
    871.57x = 575,672.11
  5. Step 5: Solve for x
    x = 575,672.11/871.57
  6. Step 6: Final answer
    x = 660.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.