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Finding the Fourth Proportional to 822.97, 1,237.29 and 661.78

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Solution

The fourth proportional to 822.97, 1,237.29 and 661.78 is: 994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.97 : 1,237.29 = 661.78 : x
  2. Step 2: Convert to fraction form
    822.97/1,237.29 = 661.78/x
  3. Step 3: Cross multiply
    822.97x = 1,237.29 × 661.78
  4. Step 4: Simplify right side
    822.97x = 818,813.78
  5. Step 5: Solve for x
    x = 818,813.78/822.97
  6. Step 6: Final answer
    x = 994.95

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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.