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Finding the Fourth Proportional to 1,191.43, 1,785.12 and 671.23

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Solution

The fourth proportional to 1,191.43, 1,785.12 and 671.23 is: 1,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.43 : 1,785.12 = 671.23 : x
  2. Step 2: Convert to fraction form
    1,191.43/1,785.12 = 671.23/x
  3. Step 3: Cross multiply
    1,191.43x = 1,785.12 × 671.23
  4. Step 4: Simplify right side
    1,191.43x = 1,198,226.10
  5. Step 5: Solve for x
    x = 1,198,226.10/1,191.43
  6. Step 6: Final answer
    x = 1,005.70

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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.