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Finding the Fourth Proportional to 986.85, 1,480.47 and 825.66

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Solution

The fourth proportional to 986.85, 1,480.47 and 825.66 is: 1,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.85 : 1,480.47 = 825.66 : x
  2. Step 2: Convert to fraction form
    986.85/1,480.47 = 825.66/x
  3. Step 3: Cross multiply
    986.85x = 1,480.47 × 825.66
  4. Step 4: Simplify right side
    986.85x = 1,222,364.86
  5. Step 5: Solve for x
    x = 1,222,364.86/986.85
  6. Step 6: Final answer
    x = 1,238.65

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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.