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Finding the Fourth Proportional to 1,665.77, 2,498.22 and 495.46

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Solution

The fourth proportional to 1,665.77, 2,498.22 and 495.46 is: 743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.77 : 2,498.22 = 495.46 : x
  2. Step 2: Convert to fraction form
    1,665.77/2,498.22 = 495.46/x
  3. Step 3: Cross multiply
    1,665.77x = 2,498.22 × 495.46
  4. Step 4: Simplify right side
    1,665.77x = 1,237,761.22
  5. Step 5: Solve for x
    x = 1,237,761.22/1,665.77
  6. Step 6: Final answer
    x = 743.06

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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.