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Finding the Fourth Proportional to 1,033.70, 1,426.64 and 591.75

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Solution

The fourth proportional to 1,033.70, 1,426.64 and 591.75 is: 816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.70 : 1,426.64 = 591.75 : x
  2. Step 2: Convert to fraction form
    1,033.70/1,426.64 = 591.75/x
  3. Step 3: Cross multiply
    1,033.70x = 1,426.64 × 591.75
  4. Step 4: Simplify right side
    1,033.70x = 844,211.26
  5. Step 5: Solve for x
    x = 844,211.26/1,033.70
  6. Step 6: Final answer
    x = 816.69

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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.