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Finding the Fourth Proportional to 1,217.59, 1,826.34 and 486.66

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Solution

The fourth proportional to 1,217.59, 1,826.34 and 486.66 is: 729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.59 : 1,826.34 = 486.66 : x
  2. Step 2: Convert to fraction form
    1,217.59/1,826.34 = 486.66/x
  3. Step 3: Cross multiply
    1,217.59x = 1,826.34 × 486.66
  4. Step 4: Simplify right side
    1,217.59x = 888,806.62
  5. Step 5: Solve for x
    x = 888,806.62/1,217.59
  6. Step 6: Final answer
    x = 729.97

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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.