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Finding the Fourth Proportional to 1,549.72, 2,325.40 and 728

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Solution

The fourth proportional to 1,549.72, 2,325.40 and 728 is: 1,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.72 : 2,325.40 = 728 : x
  2. Step 2: Convert to fraction form
    1,549.72/2,325.40 = 728/x
  3. Step 3: Cross multiply
    1,549.72x = 2,325.40 × 728
  4. Step 4: Simplify right side
    1,549.72x = 1,692,891.20
  5. Step 5: Solve for x
    x = 1,692,891.20/1,549.72
  6. Step 6: Final answer
    x = 1,092.39

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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.