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Finding the Fourth Proportional to 871.86, 1,203.14 and 478.88

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Solution

The fourth proportional to 871.86, 1,203.14 and 478.88 is: 660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.86 : 1,203.14 = 478.88 : x
  2. Step 2: Convert to fraction form
    871.86/1,203.14 = 478.88/x
  3. Step 3: Cross multiply
    871.86x = 1,203.14 × 478.88
  4. Step 4: Simplify right side
    871.86x = 576,159.68
  5. Step 5: Solve for x
    x = 576,159.68/871.86
  6. Step 6: Final answer
    x = 660.84

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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.