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Finding the Fourth Proportional to 827.52, 1,238.23 and 766.18

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Solution

The fourth proportional to 827.52, 1,238.23 and 766.18 is: 1,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.52 : 1,238.23 = 766.18 : x
  2. Step 2: Convert to fraction form
    827.52/1,238.23 = 766.18/x
  3. Step 3: Cross multiply
    827.52x = 1,238.23 × 766.18
  4. Step 4: Simplify right side
    827.52x = 948,707.06
  5. Step 5: Solve for x
    x = 948,707.06/827.52
  6. Step 6: Final answer
    x = 1,146.45

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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.