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Finding the Fourth Proportional to 869.72, 1,200.20 and 476.73

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Solution

The fourth proportional to 869.72, 1,200.20 and 476.73 is: 657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.72 : 1,200.20 = 476.73 : x
  2. Step 2: Convert to fraction form
    869.72/1,200.20 = 476.73/x
  3. Step 3: Cross multiply
    869.72x = 1,200.20 × 476.73
  4. Step 4: Simplify right side
    869.72x = 572,172.54
  5. Step 5: Solve for x
    x = 572,172.54/869.72
  6. Step 6: Final answer
    x = 657.89

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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.