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Finding the Fourth Proportional to 1,352.48, 2,028.66 and 737.44

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Solution

The fourth proportional to 1,352.48, 2,028.66 and 737.44 is: 1,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.48 : 2,028.66 = 737.44 : x
  2. Step 2: Convert to fraction form
    1,352.48/2,028.66 = 737.44/x
  3. Step 3: Cross multiply
    1,352.48x = 2,028.66 × 737.44
  4. Step 4: Simplify right side
    1,352.48x = 1,496,015.03
  5. Step 5: Solve for x
    x = 1,496,015.03/1,352.48
  6. Step 6: Final answer
    x = 1,106.13

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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.