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Finding the Fourth Proportional to 869.72, 1,200.19 and 476.74

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Solution

The fourth proportional to 869.72, 1,200.19 and 476.74 is: 657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.72 : 1,200.19 = 476.74 : x
  2. Step 2: Convert to fraction form
    869.72/1,200.19 = 476.74/x
  3. Step 3: Cross multiply
    869.72x = 1,200.19 × 476.74
  4. Step 4: Simplify right side
    869.72x = 572,171.39
  5. Step 5: Solve for x
    x = 572,171.39/869.72
  6. Step 6: Final answer
    x = 657.88

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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.