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Finding the Fourth Proportional to 1,204.32, 1,797.62 and 1,118.72

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Solution

The fourth proportional to 1,204.32, 1,797.62 and 1,118.72 is: 1,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.32 : 1,797.62 = 1,118.72 : x
  2. Step 2: Convert to fraction form
    1,204.32/1,797.62 = 1,118.72/x
  3. Step 3: Cross multiply
    1,204.32x = 1,797.62 × 1,118.72
  4. Step 4: Simplify right side
    1,204.32x = 2,011,033.45
  5. Step 5: Solve for x
    x = 2,011,033.45/1,204.32
  6. Step 6: Final answer
    x = 1,669.85

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