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Finding the Fourth Proportional to 1,353.11, 2,029.98 and 531.15

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Solution

The fourth proportional to 1,353.11, 2,029.98 and 531.15 is: 796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.11 : 2,029.98 = 531.15 : x
  2. Step 2: Convert to fraction form
    1,353.11/2,029.98 = 531.15/x
  3. Step 3: Cross multiply
    1,353.11x = 2,029.98 × 531.15
  4. Step 4: Simplify right side
    1,353.11x = 1,078,223.88
  5. Step 5: Solve for x
    x = 1,078,223.88/1,353.11
  6. Step 6: Final answer
    x = 796.85

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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.