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Finding the Fourth Proportional to 1,649.34, 2,474.43 and 495.06

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Solution

The fourth proportional to 1,649.34, 2,474.43 and 495.06 is: 742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.34 : 2,474.43 = 495.06 : x
  2. Step 2: Convert to fraction form
    1,649.34/2,474.43 = 495.06/x
  3. Step 3: Cross multiply
    1,649.34x = 2,474.43 × 495.06
  4. Step 4: Simplify right side
    1,649.34x = 1,224,991.32
  5. Step 5: Solve for x
    x = 1,224,991.32/1,649.34
  6. Step 6: Final answer
    x = 742.72

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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.