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Finding the Fourth Proportional to 1,216.71, 1,826.01 and 486.36

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Solution

The fourth proportional to 1,216.71, 1,826.01 and 486.36 is: 729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.71 : 1,826.01 = 486.36 : x
  2. Step 2: Convert to fraction form
    1,216.71/1,826.01 = 486.36/x
  3. Step 3: Cross multiply
    1,216.71x = 1,826.01 × 486.36
  4. Step 4: Simplify right side
    1,216.71x = 888,098.22
  5. Step 5: Solve for x
    x = 888,098.22/1,216.71
  6. Step 6: Final answer
    x = 729.92

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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.