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Finding the Fourth Proportional to 1,046.99, 1,443.44 and 869.32

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Solution

The fourth proportional to 1,046.99, 1,443.44 and 869.32 is: 1,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.99 : 1,443.44 = 869.32 : x
  2. Step 2: Convert to fraction form
    1,046.99/1,443.44 = 869.32/x
  3. Step 3: Cross multiply
    1,046.99x = 1,443.44 × 869.32
  4. Step 4: Simplify right side
    1,046.99x = 1,254,799.70
  5. Step 5: Solve for x
    x = 1,254,799.70/1,046.99
  6. Step 6: Final answer
    x = 1,198.48

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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.