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Finding the Fourth Proportional to 979.67, 1,351.95 and 537.59

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Solution

The fourth proportional to 979.67, 1,351.95 and 537.59 is: 741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.67 : 1,351.95 = 537.59 : x
  2. Step 2: Convert to fraction form
    979.67/1,351.95 = 537.59/x
  3. Step 3: Cross multiply
    979.67x = 1,351.95 × 537.59
  4. Step 4: Simplify right side
    979.67x = 726,788.04
  5. Step 5: Solve for x
    x = 726,788.04/979.67
  6. Step 6: Final answer
    x = 741.87

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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.