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Finding the Fourth Proportional to 1,699.20, 2,548.32 and 726.36

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Solution

The fourth proportional to 1,699.20, 2,548.32 and 726.36 is: 1,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.20 : 2,548.32 = 726.36 : x
  2. Step 2: Convert to fraction form
    1,699.20/2,548.32 = 726.36/x
  3. Step 3: Cross multiply
    1,699.20x = 2,548.32 × 726.36
  4. Step 4: Simplify right side
    1,699.20x = 1,850,997.72
  5. Step 5: Solve for x
    x = 1,850,997.72/1,699.20
  6. Step 6: Final answer
    x = 1,089.33

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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.