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Finding the Fourth Proportional to 1,649.48, 2,474.06 and 494.92

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Solution

The fourth proportional to 1,649.48, 2,474.06 and 494.92 is: 742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.48 : 2,474.06 = 494.92 : x
  2. Step 2: Convert to fraction form
    1,649.48/2,474.06 = 494.92/x
  3. Step 3: Cross multiply
    1,649.48x = 2,474.06 × 494.92
  4. Step 4: Simplify right side
    1,649.48x = 1,224,461.78
  5. Step 5: Solve for x
    x = 1,224,461.78/1,649.48
  6. Step 6: Final answer
    x = 742.33

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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.