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Finding the Fourth Proportional to 787.35, 1,084.05 and 600.24

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Solution

The fourth proportional to 787.35, 1,084.05 and 600.24 is: 826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.35 : 1,084.05 = 600.24 : x
  2. Step 2: Convert to fraction form
    787.35/1,084.05 = 600.24/x
  3. Step 3: Cross multiply
    787.35x = 1,084.05 × 600.24
  4. Step 4: Simplify right side
    787.35x = 650,690.17
  5. Step 5: Solve for x
    x = 650,690.17/787.35
  6. Step 6: Final answer
    x = 826.43

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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.