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Finding the Fourth Proportional to 869.52, 1,199.48 and 537.68

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Solution

The fourth proportional to 869.52, 1,199.48 and 537.68 is: 741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.52 : 1,199.48 = 537.68 : x
  2. Step 2: Convert to fraction form
    869.52/1,199.48 = 537.68/x
  3. Step 3: Cross multiply
    869.52x = 1,199.48 × 537.68
  4. Step 4: Simplify right side
    869.52x = 644,936.41
  5. Step 5: Solve for x
    x = 644,936.41/869.52
  6. Step 6: Final answer
    x = 741.72

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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.