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Finding the Fourth Proportional to 722.04, 1,082.88 and 516.84

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Solution

The fourth proportional to 722.04, 1,082.88 and 516.84 is: 775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.04 : 1,082.88 = 516.84 : x
  2. Step 2: Convert to fraction form
    722.04/1,082.88 = 516.84/x
  3. Step 3: Cross multiply
    722.04x = 1,082.88 × 516.84
  4. Step 4: Simplify right side
    722.04x = 559,675.70
  5. Step 5: Solve for x
    x = 559,675.70/722.04
  6. Step 6: Final answer
    x = 775.13

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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.