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Finding the Fourth Proportional to 829.68, 1,151.04 and 822.48

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Solution

The fourth proportional to 829.68, 1,151.04 and 822.48 is: 1,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.68 : 1,151.04 = 822.48 : x
  2. Step 2: Convert to fraction form
    829.68/1,151.04 = 822.48/x
  3. Step 3: Cross multiply
    829.68x = 1,151.04 × 822.48
  4. Step 4: Simplify right side
    829.68x = 946,707.38
  5. Step 5: Solve for x
    x = 946,707.38/829.68
  6. Step 6: Final answer
    x = 1,141.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.