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Finding the Fourth Proportional to 863, 1,191.68 and 553.04

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Solution

The fourth proportional to 863, 1,191.68 and 553.04 is: 763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    863 : 1,191.68 = 553.04 : x
  2. Step 2: Convert to fraction form
    863/1,191.68 = 553.04/x
  3. Step 3: Cross multiply
    863x = 1,191.68 × 553.04
  4. Step 4: Simplify right side
    863x = 659,046.71
  5. Step 5: Solve for x
    x = 659,046.71/863
  6. Step 6: Final answer
    x = 763.67

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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.