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Finding the Fourth Proportional to 1,465.08, 2,022.06 and 844.44

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Solution

The fourth proportional to 1,465.08, 2,022.06 and 844.44 is: 1,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.08 : 2,022.06 = 844.44 : x
  2. Step 2: Convert to fraction form
    1,465.08/2,022.06 = 844.44/x
  3. Step 3: Cross multiply
    1,465.08x = 2,022.06 × 844.44
  4. Step 4: Simplify right side
    1,465.08x = 1,707,508.35
  5. Step 5: Solve for x
    x = 1,707,508.35/1,465.08
  6. Step 6: Final answer
    x = 1,165.47

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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.