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Finding the Fourth Proportional to 1,665.60, 2,498.41 and 495.62

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Solution

The fourth proportional to 1,665.60, 2,498.41 and 495.62 is: 743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.60 : 2,498.41 = 495.62 : x
  2. Step 2: Convert to fraction form
    1,665.60/2,498.41 = 495.62/x
  3. Step 3: Cross multiply
    1,665.60x = 2,498.41 × 495.62
  4. Step 4: Simplify right side
    1,665.60x = 1,238,259.46
  5. Step 5: Solve for x
    x = 1,238,259.46/1,665.60
  6. Step 6: Final answer
    x = 743.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.