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Finding the Fourth Proportional to 868.86, 1,198.32 and 554.03

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Solution

The fourth proportional to 868.86, 1,198.32 and 554.03 is: 764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.86 : 1,198.32 = 554.03 : x
  2. Step 2: Convert to fraction form
    868.86/1,198.32 = 554.03/x
  3. Step 3: Cross multiply
    868.86x = 1,198.32 × 554.03
  4. Step 4: Simplify right side
    868.86x = 663,905.23
  5. Step 5: Solve for x
    x = 663,905.23/868.86
  6. Step 6: Final answer
    x = 764.11

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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.