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Finding the Fourth Proportional to 1,033.94, 1,426.97 and 591.86

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Solution

The fourth proportional to 1,033.94, 1,426.97 and 591.86 is: 816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.94 : 1,426.97 = 591.86 : x
  2. Step 2: Convert to fraction form
    1,033.94/1,426.97 = 591.86/x
  3. Step 3: Cross multiply
    1,033.94x = 1,426.97 × 591.86
  4. Step 4: Simplify right side
    1,033.94x = 844,566.46
  5. Step 5: Solve for x
    x = 844,566.46/1,033.94
  6. Step 6: Final answer
    x = 816.84

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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.