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Finding the Fourth Proportional to 787.38, 1,086.53 and 451.25

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Solution

The fourth proportional to 787.38, 1,086.53 and 451.25 is: 622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.38 : 1,086.53 = 451.25 : x
  2. Step 2: Convert to fraction form
    787.38/1,086.53 = 451.25/x
  3. Step 3: Cross multiply
    787.38x = 1,086.53 × 451.25
  4. Step 4: Simplify right side
    787.38x = 490,292.36
  5. Step 5: Solve for x
    x = 490,292.36/787.38
  6. Step 6: Final answer
    x = 622.69

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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.