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Finding the Fourth Proportional to 561.90, 844.61 and 523.83

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Solution

The fourth proportional to 561.90, 844.61 and 523.83 is: 787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.90 : 844.61 = 523.83 : x
  2. Step 2: Convert to fraction form
    561.90/844.61 = 523.83/x
  3. Step 3: Cross multiply
    561.90x = 844.61 × 523.83
  4. Step 4: Simplify right side
    561.90x = 442,429.44
  5. Step 5: Solve for x
    x = 442,429.44/561.90
  6. Step 6: Final answer
    x = 787.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.