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Finding the Fourth Proportional to 863.66, 1,191.85 and 470.71

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Solution

The fourth proportional to 863.66, 1,191.85 and 470.71 is: 649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.66 : 1,191.85 = 470.71 : x
  2. Step 2: Convert to fraction form
    863.66/1,191.85 = 470.71/x
  3. Step 3: Cross multiply
    863.66x = 1,191.85 × 470.71
  4. Step 4: Simplify right side
    863.66x = 561,007.40
  5. Step 5: Solve for x
    x = 561,007.40/863.66
  6. Step 6: Final answer
    x = 649.57

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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.