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Finding the Fourth Proportional to 801.87, 1,106.24 and 580.34

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Solution

The fourth proportional to 801.87, 1,106.24 and 580.34 is: 800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.87 : 1,106.24 = 580.34 : x
  2. Step 2: Convert to fraction form
    801.87/1,106.24 = 580.34/x
  3. Step 3: Cross multiply
    801.87x = 1,106.24 × 580.34
  4. Step 4: Simplify right side
    801.87x = 641,986.89
  5. Step 5: Solve for x
    x = 641,986.89/801.87
  6. Step 6: Final answer
    x = 800.61

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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.