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Finding the Fourth Proportional to 801.82, 1,106.18 and 580.28

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Solution

The fourth proportional to 801.82, 1,106.18 and 580.28 is: 800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.82 : 1,106.18 = 580.28 : x
  2. Step 2: Convert to fraction form
    801.82/1,106.18 = 580.28/x
  3. Step 3: Cross multiply
    801.82x = 1,106.18 × 580.28
  4. Step 4: Simplify right side
    801.82x = 641,894.13
  5. Step 5: Solve for x
    x = 641,894.13/801.82
  6. Step 6: Final answer
    x = 800.55

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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.