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Finding the Fourth Proportional to 523.82, 787.43 and 485.75

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Solution

The fourth proportional to 523.82, 787.43 and 485.75 is: 730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.82 : 787.43 = 485.75 : x
  2. Step 2: Convert to fraction form
    523.82/787.43 = 485.75/x
  3. Step 3: Cross multiply
    523.82x = 787.43 × 485.75
  4. Step 4: Simplify right side
    523.82x = 382,497.31
  5. Step 5: Solve for x
    x = 382,497.31/523.82
  6. Step 6: Final answer
    x = 730.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.