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Finding the Fourth Proportional to 979.82, 1,470.36 and 735.62

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Solution

The fourth proportional to 979.82, 1,470.36 and 735.62 is: 1,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.82 : 1,470.36 = 735.62 : x
  2. Step 2: Convert to fraction form
    979.82/1,470.36 = 735.62/x
  3. Step 3: Cross multiply
    979.82x = 1,470.36 × 735.62
  4. Step 4: Simplify right side
    979.82x = 1,081,626.22
  5. Step 5: Solve for x
    x = 1,081,626.22/979.82
  6. Step 6: Final answer
    x = 1,103.90

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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.