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Finding the Fourth Proportional to 829.04, 1,142.76 and 773.92

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Solution

The fourth proportional to 829.04, 1,142.76 and 773.92 is: 1,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.04 : 1,142.76 = 773.92 : x
  2. Step 2: Convert to fraction form
    829.04/1,142.76 = 773.92/x
  3. Step 3: Cross multiply
    829.04x = 1,142.76 × 773.92
  4. Step 4: Simplify right side
    829.04x = 884,404.82
  5. Step 5: Solve for x
    x = 884,404.82/829.04
  6. Step 6: Final answer
    x = 1,066.78

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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.