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Finding the Fourth Proportional to 871.49, 1,202.65 and 478.51

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Solution

The fourth proportional to 871.49, 1,202.65 and 478.51 is: 660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.49 : 1,202.65 = 478.51 : x
  2. Step 2: Convert to fraction form
    871.49/1,202.65 = 478.51/x
  3. Step 3: Cross multiply
    871.49x = 1,202.65 × 478.51
  4. Step 4: Simplify right side
    871.49x = 575,474.04
  5. Step 5: Solve for x
    x = 575,474.04/871.49
  6. Step 6: Final answer
    x = 660.33

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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.