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Finding the Fourth Proportional to 863.56, 1,191.69 and 470.59

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Solution

The fourth proportional to 863.56, 1,191.69 and 470.59 is: 649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.56 : 1,191.69 = 470.59 : x
  2. Step 2: Convert to fraction form
    863.56/1,191.69 = 470.59/x
  3. Step 3: Cross multiply
    863.56x = 1,191.69 × 470.59
  4. Step 4: Simplify right side
    863.56x = 560,797.40
  5. Step 5: Solve for x
    x = 560,797.40/863.56
  6. Step 6: Final answer
    x = 649.40

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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.