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Finding the Fourth Proportional to 737.37, 1,106.46 and 621.27

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Solution

The fourth proportional to 737.37, 1,106.46 and 621.27 is: 932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.37 : 1,106.46 = 621.27 : x
  2. Step 2: Convert to fraction form
    737.37/1,106.46 = 621.27/x
  3. Step 3: Cross multiply
    737.37x = 1,106.46 × 621.27
  4. Step 4: Simplify right side
    737.37x = 687,410.40
  5. Step 5: Solve for x
    x = 687,410.40/737.37
  6. Step 6: Final answer
    x = 932.25

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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.