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Finding the Fourth Proportional to 869.43, 1,198.57 and 537.66

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Solution

The fourth proportional to 869.43, 1,198.57 and 537.66 is: 741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.43 : 1,198.57 = 537.66 : x
  2. Step 2: Convert to fraction form
    869.43/1,198.57 = 537.66/x
  3. Step 3: Cross multiply
    869.43x = 1,198.57 × 537.66
  4. Step 4: Simplify right side
    869.43x = 644,423.15
  5. Step 5: Solve for x
    x = 644,423.15/869.43
  6. Step 6: Final answer
    x = 741.20

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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.