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Finding the Fourth Proportional to 1,033.31, 1,426.05 and 591.23

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Solution

The fourth proportional to 1,033.31, 1,426.05 and 591.23 is: 815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.31 : 1,426.05 = 591.23 : x
  2. Step 2: Convert to fraction form
    1,033.31/1,426.05 = 591.23/x
  3. Step 3: Cross multiply
    1,033.31x = 1,426.05 × 591.23
  4. Step 4: Simplify right side
    1,033.31x = 843,116.41
  5. Step 5: Solve for x
    x = 843,116.41/1,033.31
  6. Step 6: Final answer
    x = 815.94

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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.