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Finding the Fourth Proportional to 787.45, 1,086.62 and 433.38

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Solution

The fourth proportional to 787.45, 1,086.62 and 433.38 is: 598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.45 : 1,086.62 = 433.38 : x
  2. Step 2: Convert to fraction form
    787.45/1,086.62 = 433.38/x
  3. Step 3: Cross multiply
    787.45x = 1,086.62 × 433.38
  4. Step 4: Simplify right side
    787.45x = 470,912.12
  5. Step 5: Solve for x
    x = 470,912.12/787.45
  6. Step 6: Final answer
    x = 598.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.