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Finding the Fourth Proportional to 1,665.16, 2,497.74 and 495.19

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Solution

The fourth proportional to 1,665.16, 2,497.74 and 495.19 is: 742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.16 : 2,497.74 = 495.19 : x
  2. Step 2: Convert to fraction form
    1,665.16/2,497.74 = 495.19/x
  3. Step 3: Cross multiply
    1,665.16x = 2,497.74 × 495.19
  4. Step 4: Simplify right side
    1,665.16x = 1,236,843.38
  5. Step 5: Solve for x
    x = 1,236,843.38/1,665.16
  6. Step 6: Final answer
    x = 742.78

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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.