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Finding the Fourth Proportional to 1,728.23, 2,592.74 and 495.65

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Solution

The fourth proportional to 1,728.23, 2,592.74 and 495.65 is: 743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.23 : 2,592.74 = 495.65 : x
  2. Step 2: Convert to fraction form
    1,728.23/2,592.74 = 495.65/x
  3. Step 3: Cross multiply
    1,728.23x = 2,592.74 × 495.65
  4. Step 4: Simplify right side
    1,728.23x = 1,285,076.14
  5. Step 5: Solve for x
    x = 1,285,076.14/1,728.23
  6. Step 6: Final answer
    x = 743.58

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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.