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Finding the Fourth Proportional to 737.26, 1,017.43 and 405.65

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Solution

The fourth proportional to 737.26, 1,017.43 and 405.65 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.26 : 1,017.43 = 405.65 : x
  2. Step 2: Convert to fraction form
    737.26/1,017.43 = 405.65/x
  3. Step 3: Cross multiply
    737.26x = 1,017.43 × 405.65
  4. Step 4: Simplify right side
    737.26x = 412,722.01
  5. Step 5: Solve for x
    x = 412,722.01/737.26
  6. Step 6: Final answer
    x = 559.81

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Why These Related Problems?

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