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Finding the Fourth Proportional to 869.70, 1,200.42 and 496.88

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Solution

The fourth proportional to 869.70, 1,200.42 and 496.88 is: 685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.70 : 1,200.42 = 496.88 : x
  2. Step 2: Convert to fraction form
    869.70/1,200.42 = 496.88/x
  3. Step 3: Cross multiply
    869.70x = 1,200.42 × 496.88
  4. Step 4: Simplify right side
    869.70x = 596,464.69
  5. Step 5: Solve for x
    x = 596,464.69/869.70
  6. Step 6: Final answer
    x = 685.83

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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.