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Finding the Fourth Proportional to 787.82, 1,181.77 and 240.04

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Solution

The fourth proportional to 787.82, 1,181.77 and 240.04 is: 360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.82 : 1,181.77 = 240.04 : x
  2. Step 2: Convert to fraction form
    787.82/1,181.77 = 240.04/x
  3. Step 3: Cross multiply
    787.82x = 1,181.77 × 240.04
  4. Step 4: Simplify right side
    787.82x = 283,666.16
  5. Step 5: Solve for x
    x = 283,666.16/787.82
  6. Step 6: Final answer
    x = 360.07

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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.