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Finding the Fourth Proportional to 659.81, 909.50 and 519.71

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Solution

The fourth proportional to 659.81, 909.50 and 519.71 is: 716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.81 : 909.50 = 519.71 : x
  2. Step 2: Convert to fraction form
    659.81/909.50 = 519.71/x
  3. Step 3: Cross multiply
    659.81x = 909.50 × 519.71
  4. Step 4: Simplify right side
    659.81x = 472,676.25
  5. Step 5: Solve for x
    x = 472,676.25/659.81
  6. Step 6: Final answer
    x = 716.38

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Why These Related Problems?

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