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Finding the Fourth Proportional to 827.74, 1,233.09 and 785.62

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Solution

The fourth proportional to 827.74, 1,233.09 and 785.62 is: 1,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.74 : 1,233.09 = 785.62 : x
  2. Step 2: Convert to fraction form
    827.74/1,233.09 = 785.62/x
  3. Step 3: Cross multiply
    827.74x = 1,233.09 × 785.62
  4. Step 4: Simplify right side
    827.74x = 968,740.17
  5. Step 5: Solve for x
    x = 968,740.17/827.74
  6. Step 6: Final answer
    x = 1,170.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.