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Finding the Fourth Proportional to 828.92, 1,143.74 and 534.15

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Solution

The fourth proportional to 828.92, 1,143.74 and 534.15 is: 737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.92 : 1,143.74 = 534.15 : x
  2. Step 2: Convert to fraction form
    828.92/1,143.74 = 534.15/x
  3. Step 3: Cross multiply
    828.92x = 1,143.74 × 534.15
  4. Step 4: Simplify right side
    828.92x = 610,930.06
  5. Step 5: Solve for x
    x = 610,930.06/828.92
  6. Step 6: Final answer
    x = 737.02

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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.