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Finding the Fourth Proportional to 979.22, 1,351.28 and 586.17

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Solution

The fourth proportional to 979.22, 1,351.28 and 586.17 is: 808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.22 : 1,351.28 = 586.17 : x
  2. Step 2: Convert to fraction form
    979.22/1,351.28 = 586.17/x
  3. Step 3: Cross multiply
    979.22x = 1,351.28 × 586.17
  4. Step 4: Simplify right side
    979.22x = 792,081.26
  5. Step 5: Solve for x
    x = 792,081.26/979.22
  6. Step 6: Final answer
    x = 808.89

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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.