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Finding the Fourth Proportional to 1,348.52, 1,860.97 and 789.00

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Solution

The fourth proportional to 1,348.52, 1,860.97 and 789.00 is: 1,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.52 : 1,860.97 = 789.00 : x
  2. Step 2: Convert to fraction form
    1,348.52/1,860.97 = 789.00/x
  3. Step 3: Cross multiply
    1,348.52x = 1,860.97 × 789.00
  4. Step 4: Simplify right side
    1,348.52x = 1,468,309.61
  5. Step 5: Solve for x
    x = 1,468,309.61/1,348.52
  6. Step 6: Final answer
    x = 1,088.83

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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.