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Finding the Fourth Proportional to 1,232.82, 1,701.09 and 708.75

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Solution

The fourth proportional to 1,232.82, 1,701.09 and 708.75 is: 977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.82 : 1,701.09 = 708.75 : x
  2. Step 2: Convert to fraction form
    1,232.82/1,701.09 = 708.75/x
  3. Step 3: Cross multiply
    1,232.82x = 1,701.09 × 708.75
  4. Step 4: Simplify right side
    1,232.82x = 1,205,647.54
  5. Step 5: Solve for x
    x = 1,205,647.54/1,232.82
  6. Step 6: Final answer
    x = 977.96

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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.