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Finding the Fourth Proportional to 716.42, 990.42 and 685.82

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Solution

The fourth proportional to 716.42, 990.42 and 685.82 is: 948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.42 : 990.42 = 685.82 : x
  2. Step 2: Convert to fraction form
    716.42/990.42 = 685.82/x
  3. Step 3: Cross multiply
    716.42x = 990.42 × 685.82
  4. Step 4: Simplify right side
    716.42x = 679,249.84
  5. Step 5: Solve for x
    x = 679,249.84/716.42
  6. Step 6: Final answer
    x = 948.12

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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.