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Finding the Fourth Proportional to 737.37, 1,099.71 and 713.07

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Solution

The fourth proportional to 737.37, 1,099.71 and 713.07 is: 1,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.37 : 1,099.71 = 713.07 : x
  2. Step 2: Convert to fraction form
    737.37/1,099.71 = 713.07/x
  3. Step 3: Cross multiply
    737.37x = 1,099.71 × 713.07
  4. Step 4: Simplify right side
    737.37x = 784,170.21
  5. Step 5: Solve for x
    x = 784,170.21/737.37
  6. Step 6: Final answer
    x = 1,063.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.