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Finding the Fourth Proportional to 828.93, 1,142.71 and 579.47

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Solution

The fourth proportional to 828.93, 1,142.71 and 579.47 is: 798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.93 : 1,142.71 = 579.47 : x
  2. Step 2: Convert to fraction form
    828.93/1,142.71 = 579.47/x
  3. Step 3: Cross multiply
    828.93x = 1,142.71 × 579.47
  4. Step 4: Simplify right side
    828.93x = 662,163.27
  5. Step 5: Solve for x
    x = 662,163.27/828.93
  6. Step 6: Final answer
    x = 798.82

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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.