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Finding the Fourth Proportional to 800.40, 1,194.26 and 672.40

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Solution

The fourth proportional to 800.40, 1,194.26 and 672.40 is: 1,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.40 : 1,194.26 = 672.40 : x
  2. Step 2: Convert to fraction form
    800.40/1,194.26 = 672.40/x
  3. Step 3: Cross multiply
    800.40x = 1,194.26 × 672.40
  4. Step 4: Simplify right side
    800.40x = 803,020.42
  5. Step 5: Solve for x
    x = 803,020.42/800.40
  6. Step 6: Final answer
    x = 1,003.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.