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Finding the Fourth Proportional to 1,252.55, 1,728.60 and 728.57

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Solution

The fourth proportional to 1,252.55, 1,728.60 and 728.57 is: 1,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.55 : 1,728.60 = 728.57 : x
  2. Step 2: Convert to fraction form
    1,252.55/1,728.60 = 728.57/x
  3. Step 3: Cross multiply
    1,252.55x = 1,728.60 × 728.57
  4. Step 4: Simplify right side
    1,252.55x = 1,259,406.10
  5. Step 5: Solve for x
    x = 1,259,406.10/1,252.55
  6. Step 6: Final answer
    x = 1,005.47

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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.