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Finding the Fourth Proportional to 656.42, 984.62 and 591.41

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Solution

The fourth proportional to 656.42, 984.62 and 591.41 is: 887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.42 : 984.62 = 591.41 : x
  2. Step 2: Convert to fraction form
    656.42/984.62 = 591.41/x
  3. Step 3: Cross multiply
    656.42x = 984.62 × 591.41
  4. Step 4: Simplify right side
    656.42x = 582,318.05
  5. Step 5: Solve for x
    x = 582,318.05/656.42
  6. Step 6: Final answer
    x = 887.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.