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Finding the Fourth Proportional to 863.87, 1,192.17 and 470.91

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Solution

The fourth proportional to 863.87, 1,192.17 and 470.91 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.87 : 1,192.17 = 470.91 : x
  2. Step 2: Convert to fraction form
    863.87/1,192.17 = 470.91/x
  3. Step 3: Cross multiply
    863.87x = 1,192.17 × 470.91
  4. Step 4: Simplify right side
    863.87x = 561,404.77
  5. Step 5: Solve for x
    x = 561,404.77/863.87
  6. Step 6: Final answer
    x = 649.88

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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.