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Finding the Fourth Proportional to 1,033.29, 1,426.02 and 591.33

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Solution

The fourth proportional to 1,033.29, 1,426.02 and 591.33 is: 816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.29 : 1,426.02 = 591.33 : x
  2. Step 2: Convert to fraction form
    1,033.29/1,426.02 = 591.33/x
  3. Step 3: Cross multiply
    1,033.29x = 1,426.02 × 591.33
  4. Step 4: Simplify right side
    1,033.29x = 843,248.41
  5. Step 5: Solve for x
    x = 843,248.41/1,033.29
  6. Step 6: Final answer
    x = 816.08

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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.