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Finding the Fourth Proportional to 1,251.40, 1,877.10 and 789.70

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Solution

The fourth proportional to 1,251.40, 1,877.10 and 789.70 is: 1,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.40 : 1,877.10 = 789.70 : x
  2. Step 2: Convert to fraction form
    1,251.40/1,877.10 = 789.70/x
  3. Step 3: Cross multiply
    1,251.40x = 1,877.10 × 789.70
  4. Step 4: Simplify right side
    1,251.40x = 1,482,345.87
  5. Step 5: Solve for x
    x = 1,482,345.87/1,251.40
  6. Step 6: Final answer
    x = 1,184.55

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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.