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Finding the Fourth Proportional to 722.42, 1,084.02 and 709.55

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Solution

The fourth proportional to 722.42, 1,084.02 and 709.55 is: 1,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.42 : 1,084.02 = 709.55 : x
  2. Step 2: Convert to fraction form
    722.42/1,084.02 = 709.55/x
  3. Step 3: Cross multiply
    722.42x = 1,084.02 × 709.55
  4. Step 4: Simplify right side
    722.42x = 769,169.10
  5. Step 5: Solve for x
    x = 769,169.10/722.42
  6. Step 6: Final answer
    x = 1,064.71

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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.