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Finding the Fourth Proportional to 1,252.20, 1,728.24 and 728.53

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Solution

The fourth proportional to 1,252.20, 1,728.24 and 728.53 is: 1,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.20 : 1,728.24 = 728.53 : x
  2. Step 2: Convert to fraction form
    1,252.20/1,728.24 = 728.53/x
  3. Step 3: Cross multiply
    1,252.20x = 1,728.24 × 728.53
  4. Step 4: Simplify right side
    1,252.20x = 1,259,071.04
  5. Step 5: Solve for x
    x = 1,259,071.04/1,252.20
  6. Step 6: Final answer
    x = 1,005.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.