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Finding the Fourth Proportional to 716.67, 989.10 and 541.71

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Solution

The fourth proportional to 716.67, 989.10 and 541.71 is: 747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.67 : 989.10 = 541.71 : x
  2. Step 2: Convert to fraction form
    716.67/989.10 = 541.71/x
  3. Step 3: Cross multiply
    716.67x = 989.10 × 541.71
  4. Step 4: Simplify right side
    716.67x = 535,805.36
  5. Step 5: Solve for x
    x = 535,805.36/716.67
  6. Step 6: Final answer
    x = 747.63

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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.