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Finding the Fourth Proportional to 737.31, 1,106.16 and 412.92

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Solution

The fourth proportional to 737.31, 1,106.16 and 412.92 is: 619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.31 : 1,106.16 = 412.92 : x
  2. Step 2: Convert to fraction form
    737.31/1,106.16 = 412.92/x
  3. Step 3: Cross multiply
    737.31x = 1,106.16 × 412.92
  4. Step 4: Simplify right side
    737.31x = 456,755.59
  5. Step 5: Solve for x
    x = 456,755.59/737.31
  6. Step 6: Final answer
    x = 619.49

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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.