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Finding the Fourth Proportional to 1,033.68, 1,426.44 and 591.57

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Solution

The fourth proportional to 1,033.68, 1,426.44 and 591.57 is: 816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.68 : 1,426.44 = 591.57 : x
  2. Step 2: Convert to fraction form
    1,033.68/1,426.44 = 591.57/x
  3. Step 3: Cross multiply
    1,033.68x = 1,426.44 × 591.57
  4. Step 4: Simplify right side
    1,033.68x = 843,839.11
  5. Step 5: Solve for x
    x = 843,839.11/1,033.68
  6. Step 6: Final answer
    x = 816.34

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Why These Related Problems?

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