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Finding the Fourth Proportional to 1,204.46, 1,660.65 and 1,014.92

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Solution

The fourth proportional to 1,204.46, 1,660.65 and 1,014.92 is: 1,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.46 : 1,660.65 = 1,014.92 : x
  2. Step 2: Convert to fraction form
    1,204.46/1,660.65 = 1,014.92/x
  3. Step 3: Cross multiply
    1,204.46x = 1,660.65 × 1,014.92
  4. Step 4: Simplify right side
    1,204.46x = 1,685,418.59
  5. Step 5: Solve for x
    x = 1,685,418.59/1,204.46
  6. Step 6: Final answer
    x = 1,399.32

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