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Finding the Fourth Proportional to 1,214.71, 1,676.22 and 717.50

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Solution

The fourth proportional to 1,214.71, 1,676.22 and 717.50 is: 990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.71 : 1,676.22 = 717.50 : x
  2. Step 2: Convert to fraction form
    1,214.71/1,676.22 = 717.50/x
  3. Step 3: Cross multiply
    1,214.71x = 1,676.22 × 717.50
  4. Step 4: Simplify right side
    1,214.71x = 1,202,687.85
  5. Step 5: Solve for x
    x = 1,202,687.85/1,214.71
  6. Step 6: Final answer
    x = 990.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.