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Finding the Fourth Proportional to 1,197.14, 1,795.43 and 427.64

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Solution

The fourth proportional to 1,197.14, 1,795.43 and 427.64 is: 641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.14 : 1,795.43 = 427.64 : x
  2. Step 2: Convert to fraction form
    1,197.14/1,795.43 = 427.64/x
  3. Step 3: Cross multiply
    1,197.14x = 1,795.43 × 427.64
  4. Step 4: Simplify right side
    1,197.14x = 767,789.78
  5. Step 5: Solve for x
    x = 767,789.78/1,197.14
  6. Step 6: Final answer
    x = 641.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.