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Finding the Fourth Proportional to 722.43, 1,082.34 and 607.68

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Solution

The fourth proportional to 722.43, 1,082.34 and 607.68 is: 910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.43 : 1,082.34 = 607.68 : x
  2. Step 2: Convert to fraction form
    722.43/1,082.34 = 607.68/x
  3. Step 3: Cross multiply
    722.43x = 1,082.34 × 607.68
  4. Step 4: Simplify right side
    722.43x = 657,716.37
  5. Step 5: Solve for x
    x = 657,716.37/722.43
  6. Step 6: Final answer
    x = 910.42

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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.