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Finding the Fourth Proportional to 871.16, 1,202.24 and 478.24

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Solution

The fourth proportional to 871.16, 1,202.24 and 478.24 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.16 : 1,202.24 = 478.24 : x
  2. Step 2: Convert to fraction form
    871.16/1,202.24 = 478.24/x
  3. Step 3: Cross multiply
    871.16x = 1,202.24 × 478.24
  4. Step 4: Simplify right side
    871.16x = 574,957.45
  5. Step 5: Solve for x
    x = 574,957.45/871.16
  6. Step 6: Final answer
    x = 659.99

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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.