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Finding the Fourth Proportional to 800.60, 1,200.66 and 314

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Solution

The fourth proportional to 800.60, 1,200.66 and 314 is: 470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.60 : 1,200.66 = 314 : x
  2. Step 2: Convert to fraction form
    800.60/1,200.66 = 314/x
  3. Step 3: Cross multiply
    800.60x = 1,200.66 × 314
  4. Step 4: Simplify right side
    800.60x = 377,007.24
  5. Step 5: Solve for x
    x = 377,007.24/800.60
  6. Step 6: Final answer
    x = 470.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.