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Finding the Fourth Proportional to 787.67, 1,087.43 and 522.47

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Solution

The fourth proportional to 787.67, 1,087.43 and 522.47 is: 721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.67 : 1,087.43 = 522.47 : x
  2. Step 2: Convert to fraction form
    787.67/1,087.43 = 522.47/x
  3. Step 3: Cross multiply
    787.67x = 1,087.43 × 522.47
  4. Step 4: Simplify right side
    787.67x = 568,153.58
  5. Step 5: Solve for x
    x = 568,153.58/787.67
  6. Step 6: Final answer
    x = 721.31

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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.