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Finding the Fourth Proportional to 759.84, 1,047.02 and 523.86

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Solution

The fourth proportional to 759.84, 1,047.02 and 523.86 is: 721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.84 : 1,047.02 = 523.86 : x
  2. Step 2: Convert to fraction form
    759.84/1,047.02 = 523.86/x
  3. Step 3: Cross multiply
    759.84x = 1,047.02 × 523.86
  4. Step 4: Simplify right side
    759.84x = 548,491.90
  5. Step 5: Solve for x
    x = 548,491.90/759.84
  6. Step 6: Final answer
    x = 721.85

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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.