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Finding the Fourth Proportional to 1,799.50, 2,699.25 and 645.25

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Solution

The fourth proportional to 1,799.50, 2,699.25 and 645.25 is: 967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.50 : 2,699.25 = 645.25 : x
  2. Step 2: Convert to fraction form
    1,799.50/2,699.25 = 645.25/x
  3. Step 3: Cross multiply
    1,799.50x = 2,699.25 × 645.25
  4. Step 4: Simplify right side
    1,799.50x = 1,741,691.06
  5. Step 5: Solve for x
    x = 1,741,691.06/1,799.50
  6. Step 6: Final answer
    x = 967.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.