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Finding the Fourth Proportional to 716.76, 989.82 and 601.56

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Solution

The fourth proportional to 716.76, 989.82 and 601.56 is: 830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.76 : 989.82 = 601.56 : x
  2. Step 2: Convert to fraction form
    716.76/989.82 = 601.56/x
  3. Step 3: Cross multiply
    716.76x = 989.82 × 601.56
  4. Step 4: Simplify right side
    716.76x = 595,436.12
  5. Step 5: Solve for x
    x = 595,436.12/716.76
  6. Step 6: Final answer
    x = 830.73

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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.