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Finding the Fourth Proportional to 787.04, 1,181.77 and 422.54

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Solution

The fourth proportional to 787.04, 1,181.77 and 422.54 is: 634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.04 : 1,181.77 = 422.54 : x
  2. Step 2: Convert to fraction form
    787.04/1,181.77 = 422.54/x
  3. Step 3: Cross multiply
    787.04x = 1,181.77 × 422.54
  4. Step 4: Simplify right side
    787.04x = 499,345.10
  5. Step 5: Solve for x
    x = 499,345.10/787.04
  6. Step 6: Final answer
    x = 634.46

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Why These Related Problems?

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