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Finding the Fourth Proportional to 1,179.89, 1,769.39 and 346.70

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Solution

The fourth proportional to 1,179.89, 1,769.39 and 346.70 is: 519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.89 : 1,769.39 = 346.70 : x
  2. Step 2: Convert to fraction form
    1,179.89/1,769.39 = 346.70/x
  3. Step 3: Cross multiply
    1,179.89x = 1,769.39 × 346.70
  4. Step 4: Simplify right side
    1,179.89x = 613,436.93
  5. Step 5: Solve for x
    x = 613,436.93/1,179.89
  6. Step 6: Final answer
    x = 519.91

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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.