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Finding the Fourth Proportional to 1,217.76, 1,826.24 and 487.16

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Solution

The fourth proportional to 1,217.76, 1,826.24 and 487.16 is: 730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.76 : 1,826.24 = 487.16 : x
  2. Step 2: Convert to fraction form
    1,217.76/1,826.24 = 487.16/x
  3. Step 3: Cross multiply
    1,217.76x = 1,826.24 × 487.16
  4. Step 4: Simplify right side
    1,217.76x = 889,671.08
  5. Step 5: Solve for x
    x = 889,671.08/1,217.76
  6. Step 6: Final answer
    x = 730.58

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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.