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Finding the Fourth Proportional to 737.64, 1,106.76 and 372.53

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Solution

The fourth proportional to 737.64, 1,106.76 and 372.53 is: 558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.64 : 1,106.76 = 372.53 : x
  2. Step 2: Convert to fraction form
    737.64/1,106.76 = 372.53/x
  3. Step 3: Cross multiply
    737.64x = 1,106.76 × 372.53
  4. Step 4: Simplify right side
    737.64x = 412,305.47
  5. Step 5: Solve for x
    x = 412,305.47/737.64
  6. Step 6: Final answer
    x = 558.95

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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.