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Finding the Fourth Proportional to 979.56, 1,351.62 and 586.44

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Solution

The fourth proportional to 979.56, 1,351.62 and 586.44 is: 809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.56 : 1,351.62 = 586.44 : x
  2. Step 2: Convert to fraction form
    979.56/1,351.62 = 586.44/x
  3. Step 3: Cross multiply
    979.56x = 1,351.62 × 586.44
  4. Step 4: Simplify right side
    979.56x = 792,644.03
  5. Step 5: Solve for x
    x = 792,644.03/979.56
  6. Step 6: Final answer
    x = 809.18

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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.