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Finding the Fourth Proportional to 787.25, 1,086.34 and 433.12

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Solution

The fourth proportional to 787.25, 1,086.34 and 433.12 is: 597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.25 : 1,086.34 = 433.12 : x
  2. Step 2: Convert to fraction form
    787.25/1,086.34 = 433.12/x
  3. Step 3: Cross multiply
    787.25x = 1,086.34 × 433.12
  4. Step 4: Simplify right side
    787.25x = 470,507.98
  5. Step 5: Solve for x
    x = 470,507.98/787.25
  6. Step 6: Final answer
    x = 597.66

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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.