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Finding the Fourth Proportional to 853.23, 1,281.83 and 672.81

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Solution

The fourth proportional to 853.23, 1,281.83 and 672.81 is: 1,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.23 : 1,281.83 = 672.81 : x
  2. Step 2: Convert to fraction form
    853.23/1,281.83 = 672.81/x
  3. Step 3: Cross multiply
    853.23x = 1,281.83 × 672.81
  4. Step 4: Simplify right side
    853.23x = 862,419.87
  5. Step 5: Solve for x
    x = 862,419.87/853.23
  6. Step 6: Final answer
    x = 1,010.77

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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.