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Finding the Fourth Proportional to 828.90, 1,143.69 and 533.82

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Solution

The fourth proportional to 828.90, 1,143.69 and 533.82 is: 736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.90 : 1,143.69 = 533.82 : x
  2. Step 2: Convert to fraction form
    828.90/1,143.69 = 533.82/x
  3. Step 3: Cross multiply
    828.90x = 1,143.69 × 533.82
  4. Step 4: Simplify right side
    828.90x = 610,524.60
  5. Step 5: Solve for x
    x = 610,524.60/828.90
  6. Step 6: Final answer
    x = 736.55

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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.