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Finding the Fourth Proportional to 863.14, 1,191.12 and 470.17

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Solution

The fourth proportional to 863.14, 1,191.12 and 470.17 is: 648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.14 : 1,191.12 = 470.17 : x
  2. Step 2: Convert to fraction form
    863.14/1,191.12 = 470.17/x
  3. Step 3: Cross multiply
    863.14x = 1,191.12 × 470.17
  4. Step 4: Simplify right side
    863.14x = 560,028.89
  5. Step 5: Solve for x
    x = 560,028.89/863.14
  6. Step 6: Final answer
    x = 648.83

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1.5x scale

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.