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Finding the Fourth Proportional to 979.83, 1,352.09 and 586.78

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Solution

The fourth proportional to 979.83, 1,352.09 and 586.78 is: 809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.83 : 1,352.09 = 586.78 : x
  2. Step 2: Convert to fraction form
    979.83/1,352.09 = 586.78/x
  3. Step 3: Cross multiply
    979.83x = 1,352.09 × 586.78
  4. Step 4: Simplify right side
    979.83x = 793,377.46
  5. Step 5: Solve for x
    x = 793,377.46/979.83
  6. Step 6: Final answer
    x = 809.71

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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.