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Finding the Fourth Proportional to 1,696.97, 2,545.46 and 601.37

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Solution

The fourth proportional to 1,696.97, 2,545.46 and 601.37 is: 902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.97 : 2,545.46 = 601.37 : x
  2. Step 2: Convert to fraction form
    1,696.97/2,545.46 = 601.37/x
  3. Step 3: Cross multiply
    1,696.97x = 2,545.46 × 601.37
  4. Step 4: Simplify right side
    1,696.97x = 1,530,747.55
  5. Step 5: Solve for x
    x = 1,530,747.55/1,696.97
  6. Step 6: Final answer
    x = 902.05

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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.