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Finding the Fourth Proportional to 659.61, 909.21 and 501.73

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Solution

The fourth proportional to 659.61, 909.21 and 501.73 is: 691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.61 : 909.21 = 501.73 : x
  2. Step 2: Convert to fraction form
    659.61/909.21 = 501.73/x
  3. Step 3: Cross multiply
    659.61x = 909.21 × 501.73
  4. Step 4: Simplify right side
    659.61x = 456,177.93
  5. Step 5: Solve for x
    x = 456,177.93/659.61
  6. Step 6: Final answer
    x = 691.59

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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.