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Finding the Fourth Proportional to 722.24, 1,083.34 and 462.36

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Solution

The fourth proportional to 722.24, 1,083.34 and 462.36 is: 693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.24 : 1,083.34 = 462.36 : x
  2. Step 2: Convert to fraction form
    722.24/1,083.34 = 462.36/x
  3. Step 3: Cross multiply
    722.24x = 1,083.34 × 462.36
  4. Step 4: Simplify right side
    722.24x = 500,891.93
  5. Step 5: Solve for x
    x = 500,891.93/722.24
  6. Step 6: Final answer
    x = 693.53

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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.