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Finding the Fourth Proportional to 716.78, 989.06 and 402.02

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Solution

The fourth proportional to 716.78, 989.06 and 402.02 is: 554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.78 : 989.06 = 402.02 : x
  2. Step 2: Convert to fraction form
    716.78/989.06 = 402.02/x
  3. Step 3: Cross multiply
    716.78x = 989.06 × 402.02
  4. Step 4: Simplify right side
    716.78x = 397,621.90
  5. Step 5: Solve for x
    x = 397,621.90/716.78
  6. Step 6: Final answer
    x = 554.73

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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.