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Finding the Fourth Proportional to 1,728.06, 2,592.08 and 495.48

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Solution

The fourth proportional to 1,728.06, 2,592.08 and 495.48 is: 743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.06 : 2,592.08 = 495.48 : x
  2. Step 2: Convert to fraction form
    1,728.06/2,592.08 = 495.48/x
  3. Step 3: Cross multiply
    1,728.06x = 2,592.08 × 495.48
  4. Step 4: Simplify right side
    1,728.06x = 1,284,321.11
  5. Step 5: Solve for x
    x = 1,284,321.11/1,728.06
  6. Step 6: Final answer
    x = 743.21

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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.