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Finding the Fourth Proportional to 1,033.89, 1,426.85 and 591.70

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Solution

The fourth proportional to 1,033.89, 1,426.85 and 591.70 is: 816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.89 : 1,426.85 = 591.70 : x
  2. Step 2: Convert to fraction form
    1,033.89/1,426.85 = 591.70/x
  3. Step 3: Cross multiply
    1,033.89x = 1,426.85 × 591.70
  4. Step 4: Simplify right side
    1,033.89x = 844,267.15
  5. Step 5: Solve for x
    x = 844,267.15/1,033.89
  6. Step 6: Final answer
    x = 816.59

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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.