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Finding the Fourth Proportional to 715.56, 986.82 and 518.76

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Solution

The fourth proportional to 715.56, 986.82 and 518.76 is: 715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.56 : 986.82 = 518.76 : x
  2. Step 2: Convert to fraction form
    715.56/986.82 = 518.76/x
  3. Step 3: Cross multiply
    715.56x = 986.82 × 518.76
  4. Step 4: Simplify right side
    715.56x = 511,922.74
  5. Step 5: Solve for x
    x = 511,922.74/715.56
  6. Step 6: Final answer
    x = 715.42

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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.