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Finding the Fourth Proportional to 979.72, 1,469.94 and 706.12

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Solution

The fourth proportional to 979.72, 1,469.94 and 706.12 is: 1,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.72 : 1,469.94 = 706.12 : x
  2. Step 2: Convert to fraction form
    979.72/1,469.94 = 706.12/x
  3. Step 3: Cross multiply
    979.72x = 1,469.94 × 706.12
  4. Step 4: Simplify right side
    979.72x = 1,037,954.03
  5. Step 5: Solve for x
    x = 1,037,954.03/979.72
  6. Step 6: Final answer
    x = 1,059.44

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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.