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Finding the Fourth Proportional to 801.33, 1,105.77 and 506.76

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Solution

The fourth proportional to 801.33, 1,105.77 and 506.76 is: 699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.33 : 1,105.77 = 506.76 : x
  2. Step 2: Convert to fraction form
    801.33/1,105.77 = 506.76/x
  3. Step 3: Cross multiply
    801.33x = 1,105.77 × 506.76
  4. Step 4: Simplify right side
    801.33x = 560,360.01
  5. Step 5: Solve for x
    x = 560,360.01/801.33
  6. Step 6: Final answer
    x = 699.29

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Double scale
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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.