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Finding the Fourth Proportional to 827.31, 1,141.47 and 532.75

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Solution

The fourth proportional to 827.31, 1,141.47 and 532.75 is: 735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.31 : 1,141.47 = 532.75 : x
  2. Step 2: Convert to fraction form
    827.31/1,141.47 = 532.75/x
  3. Step 3: Cross multiply
    827.31x = 1,141.47 × 532.75
  4. Step 4: Simplify right side
    827.31x = 608,118.14
  5. Step 5: Solve for x
    x = 608,118.14/827.31
  6. Step 6: Final answer
    x = 735.05

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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.