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Finding the Fourth Proportional to 871.19, 1,202.25 and 478.25

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Solution

The fourth proportional to 871.19, 1,202.25 and 478.25 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.19 : 1,202.25 = 478.25 : x
  2. Step 2: Convert to fraction form
    871.19/1,202.25 = 478.25/x
  3. Step 3: Cross multiply
    871.19x = 1,202.25 × 478.25
  4. Step 4: Simplify right side
    871.19x = 574,970.05
  5. Step 5: Solve for x
    x = 574,970.05/871.19
  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.