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Finding the Fourth Proportional to 617.69, 847.38 and 601.55

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Solution

The fourth proportional to 617.69, 847.38 and 601.55 is: 825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.69 : 847.38 = 601.55 : x
  2. Step 2: Convert to fraction form
    617.69/847.38 = 601.55/x
  3. Step 3: Cross multiply
    617.69x = 847.38 × 601.55
  4. Step 4: Simplify right side
    617.69x = 509,737.20
  5. Step 5: Solve for x
    x = 509,737.20/617.69
  6. Step 6: Final answer
    x = 825.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.