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Finding the Fourth Proportional to 1,649.78, 2,475.36 and 726.08

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Solution

The fourth proportional to 1,649.78, 2,475.36 and 726.08 is: 1,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.78 : 2,475.36 = 726.08 : x
  2. Step 2: Convert to fraction form
    1,649.78/2,475.36 = 726.08/x
  3. Step 3: Cross multiply
    1,649.78x = 2,475.36 × 726.08
  4. Step 4: Simplify right side
    1,649.78x = 1,797,309.39
  5. Step 5: Solve for x
    x = 1,797,309.39/1,649.78
  6. Step 6: Final answer
    x = 1,089.42

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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.