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Finding the Fourth Proportional to 1,034.98, 1,428.44 and 636.86

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Solution

The fourth proportional to 1,034.98, 1,428.44 and 636.86 is: 878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.98 : 1,428.44 = 636.86 : x
  2. Step 2: Convert to fraction form
    1,034.98/1,428.44 = 636.86/x
  3. Step 3: Cross multiply
    1,034.98x = 1,428.44 × 636.86
  4. Step 4: Simplify right side
    1,034.98x = 909,716.69
  5. Step 5: Solve for x
    x = 909,716.69/1,034.98
  6. Step 6: Final answer
    x = 878.97

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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.