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Finding the Fourth Proportional to 656.67, 983.08 and 425.22

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Solution

The fourth proportional to 656.67, 983.08 and 425.22 is: 636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.67 : 983.08 = 425.22 : x
  2. Step 2: Convert to fraction form
    656.67/983.08 = 425.22/x
  3. Step 3: Cross multiply
    656.67x = 983.08 × 425.22
  4. Step 4: Simplify right side
    656.67x = 418,025.28
  5. Step 5: Solve for x
    x = 418,025.28/656.67
  6. Step 6: Final answer
    x = 636.58

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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.