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Finding the Fourth Proportional to 869.97, 1,200.56 and 471.64

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Solution

The fourth proportional to 869.97, 1,200.56 and 471.64 is: 650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.97 : 1,200.56 = 471.64 : x
  2. Step 2: Convert to fraction form
    869.97/1,200.56 = 471.64/x
  3. Step 3: Cross multiply
    869.97x = 1,200.56 × 471.64
  4. Step 4: Simplify right side
    869.97x = 566,226.12
  5. Step 5: Solve for x
    x = 566,226.12/869.97
  6. Step 6: Final answer
    x = 650.86

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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.