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Finding the Fourth Proportional to 737.98, 1,106.52 and 275.22

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Solution

The fourth proportional to 737.98, 1,106.52 and 275.22 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.98 : 1,106.52 = 275.22 : x
  2. Step 2: Convert to fraction form
    737.98/1,106.52 = 275.22/x
  3. Step 3: Cross multiply
    737.98x = 1,106.52 × 275.22
  4. Step 4: Simplify right side
    737.98x = 304,533.45
  5. Step 5: Solve for x
    x = 304,533.45/737.98
  6. Step 6: Final answer
    x = 412.66

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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.