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Finding the Fourth Proportional to 521.88, 782.81 and 137.13

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Solution

The fourth proportional to 521.88, 782.81 and 137.13 is: 205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 782.81 = 137.13 : x
  2. Step 2: Convert to fraction form
    521.88/782.81 = 137.13/x
  3. Step 3: Cross multiply
    521.88x = 782.81 × 137.13
  4. Step 4: Simplify right side
    521.88x = 107,346.74
  5. Step 5: Solve for x
    x = 107,346.74/521.88
  6. Step 6: Final answer
    x = 205.69

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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.