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Finding the Fourth Proportional to 1,039.12, 1,558.68 and 422.68

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Solution

The fourth proportional to 1,039.12, 1,558.68 and 422.68 is: 634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.12 : 1,558.68 = 422.68 : x
  2. Step 2: Convert to fraction form
    1,039.12/1,558.68 = 422.68/x
  3. Step 3: Cross multiply
    1,039.12x = 1,558.68 × 422.68
  4. Step 4: Simplify right side
    1,039.12x = 658,827.06
  5. Step 5: Solve for x
    x = 658,827.06/1,039.12
  6. Step 6: Final answer
    x = 634.02

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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.