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Finding the Fourth Proportional to 1,727.62, 2,590.99 and 495.03

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Solution

The fourth proportional to 1,727.62, 2,590.99 and 495.03 is: 742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.62 : 2,590.99 = 495.03 : x
  2. Step 2: Convert to fraction form
    1,727.62/2,590.99 = 495.03/x
  3. Step 3: Cross multiply
    1,727.62x = 2,590.99 × 495.03
  4. Step 4: Simplify right side
    1,727.62x = 1,282,617.78
  5. Step 5: Solve for x
    x = 1,282,617.78/1,727.62
  6. Step 6: Final answer
    x = 742.42

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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.