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Finding the Fourth Proportional to 1,197.74, 1,796.81 and 417.96

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Solution

The fourth proportional to 1,197.74, 1,796.81 and 417.96 is: 627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.74 : 1,796.81 = 417.96 : x
  2. Step 2: Convert to fraction form
    1,197.74/1,796.81 = 417.96/x
  3. Step 3: Cross multiply
    1,197.74x = 1,796.81 × 417.96
  4. Step 4: Simplify right side
    1,197.74x = 750,992.62
  5. Step 5: Solve for x
    x = 750,992.62/1,197.74
  6. Step 6: Final answer
    x = 627.01

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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.