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Finding the Fourth Proportional to 1,217.10, 1,825.61 and 486.48

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Solution

The fourth proportional to 1,217.10, 1,825.61 and 486.48 is: 729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.10 : 1,825.61 = 486.48 : x
  2. Step 2: Convert to fraction form
    1,217.10/1,825.61 = 486.48/x
  3. Step 3: Cross multiply
    1,217.10x = 1,825.61 × 486.48
  4. Step 4: Simplify right side
    1,217.10x = 888,120.32
  5. Step 5: Solve for x
    x = 888,120.32/1,217.10
  6. Step 6: Final answer
    x = 729.70

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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.