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Finding the Fourth Proportional to 757.73, 1,134.43 and 577.24

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Solution

The fourth proportional to 757.73, 1,134.43 and 577.24 is: 864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.73 : 1,134.43 = 577.24 : x
  2. Step 2: Convert to fraction form
    757.73/1,134.43 = 577.24/x
  3. Step 3: Cross multiply
    757.73x = 1,134.43 × 577.24
  4. Step 4: Simplify right side
    757.73x = 654,838.37
  5. Step 5: Solve for x
    x = 654,838.37/757.73
  6. Step 6: Final answer
    x = 864.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.