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Finding the Fourth Proportional to 1,665.28, 2,498.33 and 495.24

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Solution

The fourth proportional to 1,665.28, 2,498.33 and 495.24 is: 742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.28 : 2,498.33 = 495.24 : x
  2. Step 2: Convert to fraction form
    1,665.28/2,498.33 = 495.24/x
  3. Step 3: Cross multiply
    1,665.28x = 2,498.33 × 495.24
  4. Step 4: Simplify right side
    1,665.28x = 1,237,264.82
  5. Step 5: Solve for x
    x = 1,237,264.82/1,665.28
  6. Step 6: Final answer
    x = 742.98

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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.