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Finding the Fourth Proportional to 3,264.75, 4,897.17 and 799.56

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Solution

The fourth proportional to 3,264.75, 4,897.17 and 799.56 is: 1,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.75 : 4,897.17 = 799.56 : x
  2. Step 2: Convert to fraction form
    3,264.75/4,897.17 = 799.56/x
  3. Step 3: Cross multiply
    3,264.75x = 4,897.17 × 799.56
  4. Step 4: Simplify right side
    3,264.75x = 3,915,581.25
  5. Step 5: Solve for x
    x = 3,915,581.25/3,264.75
  6. Step 6: Final answer
    x = 1,199.35

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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.