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Finding the Fourth Proportional to 737.95, 1,018.37 and 406.37

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Solution

The fourth proportional to 737.95, 1,018.37 and 406.37 is: 560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.95 : 1,018.37 = 406.37 : x
  2. Step 2: Convert to fraction form
    737.95/1,018.37 = 406.37/x
  3. Step 3: Cross multiply
    737.95x = 1,018.37 × 406.37
  4. Step 4: Simplify right side
    737.95x = 413,835.43
  5. Step 5: Solve for x
    x = 413,835.43/737.95
  6. Step 6: Final answer
    x = 560.79

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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.