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Finding the Fourth Proportional to 1,217.01, 1,826.10 and 486.57

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Solution

The fourth proportional to 1,217.01, 1,826.10 and 486.57 is: 730.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.01 : 1,826.10 = 486.57 : x
  2. Step 2: Convert to fraction form
    1,217.01/1,826.10 = 486.57/x
  3. Step 3: Cross multiply
    1,217.01x = 1,826.10 × 486.57
  4. Step 4: Simplify right side
    1,217.01x = 888,525.48
  5. Step 5: Solve for x
    x = 888,525.48/1,217.01
  6. Step 6: Final answer
    x = 730.09

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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.