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Finding the Fourth Proportional to 1,046.67, 1,443.20 and 784.23

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Solution

The fourth proportional to 1,046.67, 1,443.20 and 784.23 is: 1,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.67 : 1,443.20 = 784.23 : x
  2. Step 2: Convert to fraction form
    1,046.67/1,443.20 = 784.23/x
  3. Step 3: Cross multiply
    1,046.67x = 1,443.20 × 784.23
  4. Step 4: Simplify right side
    1,046.67x = 1,131,796.81
  5. Step 5: Solve for x
    x = 1,131,796.81/1,046.67
  6. Step 6: Final answer
    x = 1,081.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.