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Finding the Fourth Proportional to 1,169.44, 1,753.78 and 428.88

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Solution

The fourth proportional to 1,169.44, 1,753.78 and 428.88 is: 643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.44 : 1,753.78 = 428.88 : x
  2. Step 2: Convert to fraction form
    1,169.44/1,753.78 = 428.88/x
  3. Step 3: Cross multiply
    1,169.44x = 1,753.78 × 428.88
  4. Step 4: Simplify right side
    1,169.44x = 752,161.17
  5. Step 5: Solve for x
    x = 752,161.17/1,169.44
  6. Step 6: Final answer
    x = 643.18

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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.