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Finding the Fourth Proportional to 1,214.61, 1,676.49 and 717.42

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Solution

The fourth proportional to 1,214.61, 1,676.49 and 717.42 is: 990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.61 : 1,676.49 = 717.42 : x
  2. Step 2: Convert to fraction form
    1,214.61/1,676.49 = 717.42/x
  3. Step 3: Cross multiply
    1,214.61x = 1,676.49 × 717.42
  4. Step 4: Simplify right side
    1,214.61x = 1,202,751.05
  5. Step 5: Solve for x
    x = 1,202,751.05/1,214.61
  6. Step 6: Final answer
    x = 990.24

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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.