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Finding the Fourth Proportional to 871.61, 1,202.78 and 478.62

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Solution

The fourth proportional to 871.61, 1,202.78 and 478.62 is: 660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.61 : 1,202.78 = 478.62 : x
  2. Step 2: Convert to fraction form
    871.61/1,202.78 = 478.62/x
  3. Step 3: Cross multiply
    871.61x = 1,202.78 × 478.62
  4. Step 4: Simplify right side
    871.61x = 575,675.76
  5. Step 5: Solve for x
    x = 575,675.76/871.61
  6. Step 6: Final answer
    x = 660.48

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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.