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Finding the Fourth Proportional to 759.52, 1,137.84 and 724

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Solution

The fourth proportional to 759.52, 1,137.84 and 724 is: 1,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.52 : 1,137.84 = 724 : x
  2. Step 2: Convert to fraction form
    759.52/1,137.84 = 724/x
  3. Step 3: Cross multiply
    759.52x = 1,137.84 × 724
  4. Step 4: Simplify right side
    759.52x = 823,796.16
  5. Step 5: Solve for x
    x = 823,796.16/759.52
  6. Step 6: Final answer
    x = 1,084.63

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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.