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Finding the Fourth Proportional to 1,194.83, 1,648.02 and 822.71

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Solution

The fourth proportional to 1,194.83, 1,648.02 and 822.71 is: 1,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.83 : 1,648.02 = 822.71 : x
  2. Step 2: Convert to fraction form
    1,194.83/1,648.02 = 822.71/x
  3. Step 3: Cross multiply
    1,194.83x = 1,648.02 × 822.71
  4. Step 4: Simplify right side
    1,194.83x = 1,355,838.16
  5. Step 5: Solve for x
    x = 1,355,838.16/1,194.83
  6. Step 6: Final answer
    x = 1,134.76

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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.