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Finding the Fourth Proportional to 723.62, 1,083.84 and 704.24

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Solution

The fourth proportional to 723.62, 1,083.84 and 704.24 is: 1,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 1,083.84 = 704.24 : x
  2. Step 2: Convert to fraction form
    723.62/1,083.84 = 704.24/x
  3. Step 3: Cross multiply
    723.62x = 1,083.84 × 704.24
  4. Step 4: Simplify right side
    723.62x = 763,283.48
  5. Step 5: Solve for x
    x = 763,283.48/723.62
  6. Step 6: Final answer
    x = 1,054.81

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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.