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Finding the Fourth Proportional to 719.68, 993.03 and 523.27

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Solution

The fourth proportional to 719.68, 993.03 and 523.27 is: 722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.68 : 993.03 = 523.27 : x
  2. Step 2: Convert to fraction form
    719.68/993.03 = 523.27/x
  3. Step 3: Cross multiply
    719.68x = 993.03 × 523.27
  4. Step 4: Simplify right side
    719.68x = 519,622.81
  5. Step 5: Solve for x
    x = 519,622.81/719.68
  6. Step 6: Final answer
    x = 722.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.