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Finding the Fourth Proportional to 722.42, 1,082 and 706.22

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Solution

The fourth proportional to 722.42, 1,082 and 706.22 is: 1,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.42 : 1,082 = 706.22 : x
  2. Step 2: Convert to fraction form
    722.42/1,082 = 706.22/x
  3. Step 3: Cross multiply
    722.42x = 1,082 × 706.22
  4. Step 4: Simplify right side
    722.42x = 764,130.04
  5. Step 5: Solve for x
    x = 764,130.04/722.42
  6. Step 6: Final answer
    x = 1,057.74

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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.