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Finding the Fourth Proportional to 863.15, 1,191.14 and 470.17

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Solution

The fourth proportional to 863.15, 1,191.14 and 470.17 is: 648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.15 : 1,191.14 = 470.17 : x
  2. Step 2: Convert to fraction form
    863.15/1,191.14 = 470.17/x
  3. Step 3: Cross multiply
    863.15x = 1,191.14 × 470.17
  4. Step 4: Simplify right side
    863.15x = 560,038.29
  5. Step 5: Solve for x
    x = 560,038.29/863.15
  6. Step 6: Final answer
    x = 648.83

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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.