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Finding the Fourth Proportional to 1,665.70, 2,498.12 and 495.43

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Solution

The fourth proportional to 1,665.70, 2,498.12 and 495.43 is: 743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.70 : 2,498.12 = 495.43 : x
  2. Step 2: Convert to fraction form
    1,665.70/2,498.12 = 495.43/x
  3. Step 3: Cross multiply
    1,665.70x = 2,498.12 × 495.43
  4. Step 4: Simplify right side
    1,665.70x = 1,237,643.59
  5. Step 5: Solve for x
    x = 1,237,643.59/1,665.70
  6. Step 6: Final answer
    x = 743.02

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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.