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Finding the Fourth Proportional to 1,352.89, 2,027.92 and 735.28

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Solution

The fourth proportional to 1,352.89, 2,027.92 and 735.28 is: 1,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.89 : 2,027.92 = 735.28 : x
  2. Step 2: Convert to fraction form
    1,352.89/2,027.92 = 735.28/x
  3. Step 3: Cross multiply
    1,352.89x = 2,027.92 × 735.28
  4. Step 4: Simplify right side
    1,352.89x = 1,491,089.02
  5. Step 5: Solve for x
    x = 1,491,089.02/1,352.89
  6. Step 6: Final answer
    x = 1,102.15

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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.