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Finding the Fourth Proportional to 982.33, 1,473.54 and 695.05

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Solution

The fourth proportional to 982.33, 1,473.54 and 695.05 is: 1,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.33 : 1,473.54 = 695.05 : x
  2. Step 2: Convert to fraction form
    982.33/1,473.54 = 695.05/x
  3. Step 3: Cross multiply
    982.33x = 1,473.54 × 695.05
  4. Step 4: Simplify right side
    982.33x = 1,024,183.98
  5. Step 5: Solve for x
    x = 1,024,183.98/982.33
  6. Step 6: Final answer
    x = 1,042.61

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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.