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Finding the Fourth Proportional to 1,308.95, 1,960.82 and 789.08

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Solution

The fourth proportional to 1,308.95, 1,960.82 and 789.08 is: 1,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.95 : 1,960.82 = 789.08 : x
  2. Step 2: Convert to fraction form
    1,308.95/1,960.82 = 789.08/x
  3. Step 3: Cross multiply
    1,308.95x = 1,960.82 × 789.08
  4. Step 4: Simplify right side
    1,308.95x = 1,547,250.72
  5. Step 5: Solve for x
    x = 1,547,250.72/1,308.95
  6. Step 6: Final answer
    x = 1,182.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.