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Finding the Fourth Proportional to 1,203.57, 1,660.94 and 679.61

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Solution

The fourth proportional to 1,203.57, 1,660.94 and 679.61 is: 937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.57 : 1,660.94 = 679.61 : x
  2. Step 2: Convert to fraction form
    1,203.57/1,660.94 = 679.61/x
  3. Step 3: Cross multiply
    1,203.57x = 1,660.94 × 679.61
  4. Step 4: Simplify right side
    1,203.57x = 1,128,779.73
  5. Step 5: Solve for x
    x = 1,128,779.73/1,203.57
  6. Step 6: Final answer
    x = 937.86

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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.