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Finding the Fourth Proportional to 1,033.82, 1,426.69 and 561.73

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Solution

The fourth proportional to 1,033.82, 1,426.69 and 561.73 is: 775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.82 : 1,426.69 = 561.73 : x
  2. Step 2: Convert to fraction form
    1,033.82/1,426.69 = 561.73/x
  3. Step 3: Cross multiply
    1,033.82x = 1,426.69 × 561.73
  4. Step 4: Simplify right side
    1,033.82x = 801,411.22
  5. Step 5: Solve for x
    x = 801,411.22/1,033.82
  6. Step 6: Final answer
    x = 775.19

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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.