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Finding the Fourth Proportional to 609.74, 840.69 and 521.06

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Solution

The fourth proportional to 609.74, 840.69 and 521.06 is: 718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.74 : 840.69 = 521.06 : x
  2. Step 2: Convert to fraction form
    609.74/840.69 = 521.06/x
  3. Step 3: Cross multiply
    609.74x = 840.69 × 521.06
  4. Step 4: Simplify right side
    609.74x = 438,049.93
  5. Step 5: Solve for x
    x = 438,049.93/609.74
  6. Step 6: Final answer
    x = 718.42

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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.