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Finding the Fourth Proportional to 1,197.37, 1,797.27 and 764.83

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Solution

The fourth proportional to 1,197.37, 1,797.27 and 764.83 is: 1,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.37 : 1,797.27 = 764.83 : x
  2. Step 2: Convert to fraction form
    1,197.37/1,797.27 = 764.83/x
  3. Step 3: Cross multiply
    1,197.37x = 1,797.27 × 764.83
  4. Step 4: Simplify right side
    1,197.37x = 1,374,606.01
  5. Step 5: Solve for x
    x = 1,374,606.01/1,197.37
  6. Step 6: Final answer
    x = 1,148.02

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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.