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Finding the Fourth Proportional to 829.94, 1,144.80 and 534.83

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Solution

The fourth proportional to 829.94, 1,144.80 and 534.83 is: 737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.94 : 1,144.80 = 534.83 : x
  2. Step 2: Convert to fraction form
    829.94/1,144.80 = 534.83/x
  3. Step 3: Cross multiply
    829.94x = 1,144.80 × 534.83
  4. Step 4: Simplify right side
    829.94x = 612,267.66
  5. Step 5: Solve for x
    x = 612,267.66/829.94
  6. Step 6: Final answer
    x = 737.73

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