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Finding the Fourth Proportional to 1,649.75, 2,474.64 and 495.50

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Solution

The fourth proportional to 1,649.75, 2,474.64 and 495.50 is: 743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.75 : 2,474.64 = 495.50 : x
  2. Step 2: Convert to fraction form
    1,649.75/2,474.64 = 495.50/x
  3. Step 3: Cross multiply
    1,649.75x = 2,474.64 × 495.50
  4. Step 4: Simplify right side
    1,649.75x = 1,226,184.12
  5. Step 5: Solve for x
    x = 1,226,184.12/1,649.75
  6. Step 6: Final answer
    x = 743.25

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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.