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Finding the Fourth Proportional to 801, 1,104.57 and 580.68

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Solution

The fourth proportional to 801, 1,104.57 and 580.68 is: 800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    801 : 1,104.57 = 580.68 : x
  2. Step 2: Convert to fraction form
    801/1,104.57 = 580.68/x
  3. Step 3: Cross multiply
    801x = 1,104.57 × 580.68
  4. Step 4: Simplify right side
    801x = 641,401.71
  5. Step 5: Solve for x
    x = 641,401.71/801
  6. Step 6: Final answer
    x = 800.75

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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.