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Finding the Fourth Proportional to 929.22, 1,391.30 and 798.62

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Solution

The fourth proportional to 929.22, 1,391.30 and 798.62 is: 1,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.22 : 1,391.30 = 798.62 : x
  2. Step 2: Convert to fraction form
    929.22/1,391.30 = 798.62/x
  3. Step 3: Cross multiply
    929.22x = 1,391.30 × 798.62
  4. Step 4: Simplify right side
    929.22x = 1,111,120.01
  5. Step 5: Solve for x
    x = 1,111,120.01/929.22
  6. Step 6: Final answer
    x = 1,195.76

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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.