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Finding the Fourth Proportional to 737.26, 1,017.47 and 405.72

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Solution

The fourth proportional to 737.26, 1,017.47 and 405.72 is: 559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.26 : 1,017.47 = 405.72 : x
  2. Step 2: Convert to fraction form
    737.26/1,017.47 = 405.72/x
  3. Step 3: Cross multiply
    737.26x = 1,017.47 × 405.72
  4. Step 4: Simplify right side
    737.26x = 412,807.93
  5. Step 5: Solve for x
    x = 412,807.93/737.26
  6. Step 6: Final answer
    x = 559.92

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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.