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Finding the Fourth Proportional to 1,033.58, 1,426.20 and 591.44

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Solution

The fourth proportional to 1,033.58, 1,426.20 and 591.44 is: 816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.58 : 1,426.20 = 591.44 : x
  2. Step 2: Convert to fraction form
    1,033.58/1,426.20 = 591.44/x
  3. Step 3: Cross multiply
    1,033.58x = 1,426.20 × 591.44
  4. Step 4: Simplify right side
    1,033.58x = 843,511.73
  5. Step 5: Solve for x
    x = 843,511.73/1,033.58
  6. Step 6: Final answer
    x = 816.11

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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.