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Finding the Fourth Proportional to 716.14, 987.90 and 519.82

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Solution

The fourth proportional to 716.14, 987.90 and 519.82 is: 717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.14 : 987.90 = 519.82 : x
  2. Step 2: Convert to fraction form
    716.14/987.90 = 519.82/x
  3. Step 3: Cross multiply
    716.14x = 987.90 × 519.82
  4. Step 4: Simplify right side
    716.14x = 513,525.76
  5. Step 5: Solve for x
    x = 513,525.76/716.14
  6. Step 6: Final answer
    x = 717.07

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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.