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Finding the Fourth Proportional to 737.03, 1,105.95 and 412.22

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Solution

The fourth proportional to 737.03, 1,105.95 and 412.22 is: 618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.03 : 1,105.95 = 412.22 : x
  2. Step 2: Convert to fraction form
    737.03/1,105.95 = 412.22/x
  3. Step 3: Cross multiply
    737.03x = 1,105.95 × 412.22
  4. Step 4: Simplify right side
    737.03x = 455,894.71
  5. Step 5: Solve for x
    x = 455,894.71/737.03
  6. Step 6: Final answer
    x = 618.56

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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.