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Finding the Fourth Proportional to 787.59, 1,086.98 and 522.09

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Solution

The fourth proportional to 787.59, 1,086.98 and 522.09 is: 720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.59 : 1,086.98 = 522.09 : x
  2. Step 2: Convert to fraction form
    787.59/1,086.98 = 522.09/x
  3. Step 3: Cross multiply
    787.59x = 1,086.98 × 522.09
  4. Step 4: Simplify right side
    787.59x = 567,498.78
  5. Step 5: Solve for x
    x = 567,498.78/787.59
  6. Step 6: Final answer
    x = 720.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.