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Finding the Fourth Proportional to 869.91, 1,200.27 and 496.83

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Solution

The fourth proportional to 869.91, 1,200.27 and 496.83 is: 685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.91 : 1,200.27 = 496.83 : x
  2. Step 2: Convert to fraction form
    869.91/1,200.27 = 496.83/x
  3. Step 3: Cross multiply
    869.91x = 1,200.27 × 496.83
  4. Step 4: Simplify right side
    869.91x = 596,330.14
  5. Step 5: Solve for x
    x = 596,330.14/869.91
  6. Step 6: Final answer
    x = 685.51

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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.