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Finding the Fourth Proportional to 759.58, 1,047.79 and 523.34

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Solution

The fourth proportional to 759.58, 1,047.79 and 523.34 is: 721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.58 : 1,047.79 = 523.34 : x
  2. Step 2: Convert to fraction form
    759.58/1,047.79 = 523.34/x
  3. Step 3: Cross multiply
    759.58x = 1,047.79 × 523.34
  4. Step 4: Simplify right side
    759.58x = 548,350.42
  5. Step 5: Solve for x
    x = 548,350.42/759.58
  6. Step 6: Final answer
    x = 721.91

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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.