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Finding the Fourth Proportional to 1,206.41, 1,797.56 and 1,153.34

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Solution

The fourth proportional to 1,206.41, 1,797.56 and 1,153.34 is: 1,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.41 : 1,797.56 = 1,153.34 : x
  2. Step 2: Convert to fraction form
    1,206.41/1,797.56 = 1,153.34/x
  3. Step 3: Cross multiply
    1,206.41x = 1,797.56 × 1,153.34
  4. Step 4: Simplify right side
    1,206.41x = 2,073,183.10
  5. Step 5: Solve for x
    x = 2,073,183.10/1,206.41
  6. Step 6: Final answer
    x = 1,718.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.