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Finding the Fourth Proportional to 1,217.77, 1,826.52 and 487.15

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Solution

The fourth proportional to 1,217.77, 1,826.52 and 487.15 is: 730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.77 : 1,826.52 = 487.15 : x
  2. Step 2: Convert to fraction form
    1,217.77/1,826.52 = 487.15/x
  3. Step 3: Cross multiply
    1,217.77x = 1,826.52 × 487.15
  4. Step 4: Simplify right side
    1,217.77x = 889,789.22
  5. Step 5: Solve for x
    x = 889,789.22/1,217.77
  6. Step 6: Final answer
    x = 730.67

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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.