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Finding the Fourth Proportional to 863.04, 1,191.36 and 553.28

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Solution

The fourth proportional to 863.04, 1,191.36 and 553.28 is: 763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.04 : 1,191.36 = 553.28 : x
  2. Step 2: Convert to fraction form
    863.04/1,191.36 = 553.28/x
  3. Step 3: Cross multiply
    863.04x = 1,191.36 × 553.28
  4. Step 4: Simplify right side
    863.04x = 659,155.66
  5. Step 5: Solve for x
    x = 659,155.66/863.04
  6. Step 6: Final answer
    x = 763.76

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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.