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Finding the Fourth Proportional to 1,214.73, 1,676.29 and 717.40

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Solution

The fourth proportional to 1,214.73, 1,676.29 and 717.40 is: 989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.73 : 1,676.29 = 717.40 : x
  2. Step 2: Convert to fraction form
    1,214.73/1,676.29 = 717.40/x
  3. Step 3: Cross multiply
    1,214.73x = 1,676.29 × 717.40
  4. Step 4: Simplify right side
    1,214.73x = 1,202,570.45
  5. Step 5: Solve for x
    x = 1,202,570.45/1,214.73
  6. Step 6: Final answer
    x = 989.99

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Why These Related Problems?

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