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Finding the Fourth Proportional to 1,649.95, 2,474.96 and 495.70

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Solution

The fourth proportional to 1,649.95, 2,474.96 and 495.70 is: 743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.95 : 2,474.96 = 495.70 : x
  2. Step 2: Convert to fraction form
    1,649.95/2,474.96 = 495.70/x
  3. Step 3: Cross multiply
    1,649.95x = 2,474.96 × 495.70
  4. Step 4: Simplify right side
    1,649.95x = 1,226,842.93
  5. Step 5: Solve for x
    x = 1,226,842.93/1,649.95
  6. Step 6: Final answer
    x = 743.56

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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.