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Finding the Fourth Proportional to 1,194.44, 1,648.48 and 752.72

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Solution

The fourth proportional to 1,194.44, 1,648.48 and 752.72 is: 1,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.44 : 1,648.48 = 752.72 : x
  2. Step 2: Convert to fraction form
    1,194.44/1,648.48 = 752.72/x
  3. Step 3: Cross multiply
    1,194.44x = 1,648.48 × 752.72
  4. Step 4: Simplify right side
    1,194.44x = 1,240,843.87
  5. Step 5: Solve for x
    x = 1,240,843.87/1,194.44
  6. Step 6: Final answer
    x = 1,038.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.