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Finding the Fourth Proportional to 1,033.75, 1,426.57 and 591.65

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Solution

The fourth proportional to 1,033.75, 1,426.57 and 591.65 is: 816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.75 : 1,426.57 = 591.65 : x
  2. Step 2: Convert to fraction form
    1,033.75/1,426.57 = 591.65/x
  3. Step 3: Cross multiply
    1,033.75x = 1,426.57 × 591.65
  4. Step 4: Simplify right side
    1,033.75x = 844,027.18
  5. Step 5: Solve for x
    x = 844,027.18/1,033.75
  6. Step 6: Final answer
    x = 816.48

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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.