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Finding the Fourth Proportional to 863.58, 1,191.72 and 470.60

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Solution

The fourth proportional to 863.58, 1,191.72 and 470.60 is: 649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.58 : 1,191.72 = 470.60 : x
  2. Step 2: Convert to fraction form
    863.58/1,191.72 = 470.60/x
  3. Step 3: Cross multiply
    863.58x = 1,191.72 × 470.60
  4. Step 4: Simplify right side
    863.58x = 560,823.43
  5. Step 5: Solve for x
    x = 560,823.43/863.58
  6. Step 6: Final answer
    x = 649.42

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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.