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Finding the Fourth Proportional to 979.54, 1,469.34 and 654.76

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Solution

The fourth proportional to 979.54, 1,469.34 and 654.76 is: 982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.54 : 1,469.34 = 654.76 : x
  2. Step 2: Convert to fraction form
    979.54/1,469.34 = 654.76/x
  3. Step 3: Cross multiply
    979.54x = 1,469.34 × 654.76
  4. Step 4: Simplify right side
    979.54x = 962,065.06
  5. Step 5: Solve for x
    x = 962,065.06/979.54
  6. Step 6: Final answer
    x = 982.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.