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Finding the Fourth Proportional to 787.13, 1,086.26 and 437.84

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Solution

The fourth proportional to 787.13, 1,086.26 and 437.84 is: 604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.13 : 1,086.26 = 437.84 : x
  2. Step 2: Convert to fraction form
    787.13/1,086.26 = 437.84/x
  3. Step 3: Cross multiply
    787.13x = 1,086.26 × 437.84
  4. Step 4: Simplify right side
    787.13x = 475,600.46
  5. Step 5: Solve for x
    x = 475,600.46/787.13
  6. Step 6: Final answer
    x = 604.22

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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.