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Finding the Fourth Proportional to 688.98, 1,034.50 and 676.68

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Solution

The fourth proportional to 688.98, 1,034.50 and 676.68 is: 1,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.98 : 1,034.50 = 676.68 : x
  2. Step 2: Convert to fraction form
    688.98/1,034.50 = 676.68/x
  3. Step 3: Cross multiply
    688.98x = 1,034.50 × 676.68
  4. Step 4: Simplify right side
    688.98x = 700,022.16
  5. Step 5: Solve for x
    x = 700,022.16/688.98
  6. Step 6: Final answer
    x = 1,016.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.