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Finding the Fourth Proportional to 716.42, 988.34 and 519.58

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Solution

The fourth proportional to 716.42, 988.34 and 519.58 is: 716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.42 : 988.34 = 519.58 : x
  2. Step 2: Convert to fraction form
    716.42/988.34 = 519.58/x
  3. Step 3: Cross multiply
    716.42x = 988.34 × 519.58
  4. Step 4: Simplify right side
    716.42x = 513,521.70
  5. Step 5: Solve for x
    x = 513,521.70/716.42
  6. Step 6: Final answer
    x = 716.79

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