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Finding the Fourth Proportional to 869.01, 1,198.73 and 553.72

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Solution

The fourth proportional to 869.01, 1,198.73 and 553.72 is: 763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.01 : 1,198.73 = 553.72 : x
  2. Step 2: Convert to fraction form
    869.01/1,198.73 = 553.72/x
  3. Step 3: Cross multiply
    869.01x = 1,198.73 × 553.72
  4. Step 4: Simplify right side
    869.01x = 663,760.78
  5. Step 5: Solve for x
    x = 663,760.78/869.01
  6. Step 6: Final answer
    x = 763.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.