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Finding the Fourth Proportional to 979.75, 1,351.93 and 537.54

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Solution

The fourth proportional to 979.75, 1,351.93 and 537.54 is: 741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.75 : 1,351.93 = 537.54 : x
  2. Step 2: Convert to fraction form
    979.75/1,351.93 = 537.54/x
  3. Step 3: Cross multiply
    979.75x = 1,351.93 × 537.54
  4. Step 4: Simplify right side
    979.75x = 726,716.45
  5. Step 5: Solve for x
    x = 726,716.45/979.75
  6. Step 6: Final answer
    x = 741.74

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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.