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Finding the Fourth Proportional to 690.45, 1,034.61 and 516.30

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Solution

The fourth proportional to 690.45, 1,034.61 and 516.30 is: 773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.45 : 1,034.61 = 516.30 : x
  2. Step 2: Convert to fraction form
    690.45/1,034.61 = 516.30/x
  3. Step 3: Cross multiply
    690.45x = 1,034.61 × 516.30
  4. Step 4: Simplify right side
    690.45x = 534,169.14
  5. Step 5: Solve for x
    x = 534,169.14/690.45
  6. Step 6: Final answer
    x = 773.65

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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.