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Finding the Fourth Proportional to 828.66, 1,143.23 and 534.11

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Solution

The fourth proportional to 828.66, 1,143.23 and 534.11 is: 736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.66 : 1,143.23 = 534.11 : x
  2. Step 2: Convert to fraction form
    828.66/1,143.23 = 534.11/x
  3. Step 3: Cross multiply
    828.66x = 1,143.23 × 534.11
  4. Step 4: Simplify right side
    828.66x = 610,602.19
  5. Step 5: Solve for x
    x = 610,602.19/828.66
  6. Step 6: Final answer
    x = 736.85

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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.