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Finding the Fourth Proportional to 659.28, 908.80 and 519.14

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Solution

The fourth proportional to 659.28, 908.80 and 519.14 is: 715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.28 : 908.80 = 519.14 : x
  2. Step 2: Convert to fraction form
    659.28/908.80 = 519.14/x
  3. Step 3: Cross multiply
    659.28x = 908.80 × 519.14
  4. Step 4: Simplify right side
    659.28x = 471,794.43
  5. Step 5: Solve for x
    x = 471,794.43/659.28
  6. Step 6: Final answer
    x = 715.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.