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Finding the Fourth Proportional to 1,179.52, 1,769.20 and 409.76

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Solution

The fourth proportional to 1,179.52, 1,769.20 and 409.76 is: 614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.52 : 1,769.20 = 409.76 : x
  2. Step 2: Convert to fraction form
    1,179.52/1,769.20 = 409.76/x
  3. Step 3: Cross multiply
    1,179.52x = 1,769.20 × 409.76
  4. Step 4: Simplify right side
    1,179.52x = 724,947.39
  5. Step 5: Solve for x
    x = 724,947.39/1,179.52
  6. Step 6: Final answer
    x = 614.61

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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.