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Finding the Fourth Proportional to 1,197.72, 1,794.42 and 466.83

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Solution

The fourth proportional to 1,197.72, 1,794.42 and 466.83 is: 699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.72 : 1,794.42 = 466.83 : x
  2. Step 2: Convert to fraction form
    1,197.72/1,794.42 = 466.83/x
  3. Step 3: Cross multiply
    1,197.72x = 1,794.42 × 466.83
  4. Step 4: Simplify right side
    1,197.72x = 837,689.09
  5. Step 5: Solve for x
    x = 837,689.09/1,197.72
  6. Step 6: Final answer
    x = 699.40

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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.