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Finding the Fourth Proportional to 737.93, 1,107.20 and 305.13

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Solution

The fourth proportional to 737.93, 1,107.20 and 305.13 is: 457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.93 : 1,107.20 = 305.13 : x
  2. Step 2: Convert to fraction form
    737.93/1,107.20 = 305.13/x
  3. Step 3: Cross multiply
    737.93x = 1,107.20 × 305.13
  4. Step 4: Simplify right side
    737.93x = 337,839.94
  5. Step 5: Solve for x
    x = 337,839.94/737.93
  6. Step 6: Final answer
    x = 457.82

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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.