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Finding the Fourth Proportional to 1,696.75, 2,545.26 and 464.26

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Solution

The fourth proportional to 1,696.75, 2,545.26 and 464.26 is: 696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.75 : 2,545.26 = 464.26 : x
  2. Step 2: Convert to fraction form
    1,696.75/2,545.26 = 464.26/x
  3. Step 3: Cross multiply
    1,696.75x = 2,545.26 × 464.26
  4. Step 4: Simplify right side
    1,696.75x = 1,181,662.41
  5. Step 5: Solve for x
    x = 1,181,662.41/1,696.75
  6. Step 6: Final answer
    x = 696.43

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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.