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Finding the Fourth Proportional to 979.14, 1,351.82 and 648.03

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Solution

The fourth proportional to 979.14, 1,351.82 and 648.03 is: 894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.14 : 1,351.82 = 648.03 : x
  2. Step 2: Convert to fraction form
    979.14/1,351.82 = 648.03/x
  3. Step 3: Cross multiply
    979.14x = 1,351.82 × 648.03
  4. Step 4: Simplify right side
    979.14x = 876,019.00
  5. Step 5: Solve for x
    x = 876,019.00/979.14
  6. Step 6: Final answer
    x = 894.68

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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.