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Finding the Fourth Proportional to 801.75, 1,106.96 and 518.70

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Solution

The fourth proportional to 801.75, 1,106.96 and 518.70 is: 716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.75 : 1,106.96 = 518.70 : x
  2. Step 2: Convert to fraction form
    801.75/1,106.96 = 518.70/x
  3. Step 3: Cross multiply
    801.75x = 1,106.96 × 518.70
  4. Step 4: Simplify right side
    801.75x = 574,177.56
  5. Step 5: Solve for x
    x = 574,177.56/801.75
  6. Step 6: Final answer
    x = 716.16

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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.