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Finding the Fourth Proportional to 1,352.78, 2,029.13 and 365.59

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Solution

The fourth proportional to 1,352.78, 2,029.13 and 365.59 is: 548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.78 : 2,029.13 = 365.59 : x
  2. Step 2: Convert to fraction form
    1,352.78/2,029.13 = 365.59/x
  3. Step 3: Cross multiply
    1,352.78x = 2,029.13 × 365.59
  4. Step 4: Simplify right side
    1,352.78x = 741,822.74
  5. Step 5: Solve for x
    x = 741,822.74/1,352.78
  6. Step 6: Final answer
    x = 548.37

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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.