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Finding the Fourth Proportional to 737.38, 1,106.07 and 347.26

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Solution

The fourth proportional to 737.38, 1,106.07 and 347.26 is: 520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.38 : 1,106.07 = 347.26 : x
  2. Step 2: Convert to fraction form
    737.38/1,106.07 = 347.26/x
  3. Step 3: Cross multiply
    737.38x = 1,106.07 × 347.26
  4. Step 4: Simplify right side
    737.38x = 384,093.87
  5. Step 5: Solve for x
    x = 384,093.87/737.38
  6. Step 6: Final answer
    x = 520.89

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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.