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Finding the Fourth Proportional to 979.83, 1,352.10 and 537.65

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Solution

The fourth proportional to 979.83, 1,352.10 and 537.65 is: 741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.83 : 1,352.10 = 537.65 : x
  2. Step 2: Convert to fraction form
    979.83/1,352.10 = 537.65/x
  3. Step 3: Cross multiply
    979.83x = 1,352.10 × 537.65
  4. Step 4: Simplify right side
    979.83x = 726,956.57
  5. Step 5: Solve for x
    x = 726,956.57/979.83
  6. Step 6: Final answer
    x = 741.92

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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.