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Finding the Fourth Proportional to 979.34, 1,469.82 and 735.08

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Solution

The fourth proportional to 979.34, 1,469.82 and 735.08 is: 1,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.34 : 1,469.82 = 735.08 : x
  2. Step 2: Convert to fraction form
    979.34/1,469.82 = 735.08/x
  3. Step 3: Cross multiply
    979.34x = 1,469.82 × 735.08
  4. Step 4: Simplify right side
    979.34x = 1,080,435.29
  5. Step 5: Solve for x
    x = 1,080,435.29/979.34
  6. Step 6: Final answer
    x = 1,103.23

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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.