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Finding the Fourth Proportional to 869.04, 1,198.94 and 758.52

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Solution

The fourth proportional to 869.04, 1,198.94 and 758.52 is: 1,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.04 : 1,198.94 = 758.52 : x
  2. Step 2: Convert to fraction form
    869.04/1,198.94 = 758.52/x
  3. Step 3: Cross multiply
    869.04x = 1,198.94 × 758.52
  4. Step 4: Simplify right side
    869.04x = 909,416.18
  5. Step 5: Solve for x
    x = 909,416.18/869.04
  6. Step 6: Final answer
    x = 1,046.46

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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.