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Finding the Fourth Proportional to 1,194.79, 1,650.03 and 822.73

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Solution

The fourth proportional to 1,194.79, 1,650.03 and 822.73 is: 1,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.79 : 1,650.03 = 822.73 : x
  2. Step 2: Convert to fraction form
    1,194.79/1,650.03 = 822.73/x
  3. Step 3: Cross multiply
    1,194.79x = 1,650.03 × 822.73
  4. Step 4: Simplify right side
    1,194.79x = 1,357,529.18
  5. Step 5: Solve for x
    x = 1,357,529.18/1,194.79
  6. Step 6: Final answer
    x = 1,136.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.