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Finding the Fourth Proportional to 1,003.25, 1,502.66 and 827.93

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Solution

The fourth proportional to 1,003.25, 1,502.66 and 827.93 is: 1,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.25 : 1,502.66 = 827.93 : x
  2. Step 2: Convert to fraction form
    1,003.25/1,502.66 = 827.93/x
  3. Step 3: Cross multiply
    1,003.25x = 1,502.66 × 827.93
  4. Step 4: Simplify right side
    1,003.25x = 1,244,091.85
  5. Step 5: Solve for x
    x = 1,244,091.85/1,003.25
  6. Step 6: Final answer
    x = 1,240.07

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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.