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Finding the Fourth Proportional to 1,214.84, 1,676.92 and 717.50

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Solution

The fourth proportional to 1,214.84, 1,676.92 and 717.50 is: 990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.84 : 1,676.92 = 717.50 : x
  2. Step 2: Convert to fraction form
    1,214.84/1,676.92 = 717.50/x
  3. Step 3: Cross multiply
    1,214.84x = 1,676.92 × 717.50
  4. Step 4: Simplify right side
    1,214.84x = 1,203,190.10
  5. Step 5: Solve for x
    x = 1,203,190.10/1,214.84
  6. Step 6: Final answer
    x = 990.41

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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.