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Finding the Fourth Proportional to 1,744.11, 2,616.63 and 648.57

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Solution

The fourth proportional to 1,744.11, 2,616.63 and 648.57 is: 973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.11 : 2,616.63 = 648.57 : x
  2. Step 2: Convert to fraction form
    1,744.11/2,616.63 = 648.57/x
  3. Step 3: Cross multiply
    1,744.11x = 2,616.63 × 648.57
  4. Step 4: Simplify right side
    1,744.11x = 1,697,067.72
  5. Step 5: Solve for x
    x = 1,697,067.72/1,744.11
  6. Step 6: Final answer
    x = 973.03

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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.