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Finding the Fourth Proportional to 1,465.44, 2,022.48 and 844.56

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Solution

The fourth proportional to 1,465.44, 2,022.48 and 844.56 is: 1,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.44 : 2,022.48 = 844.56 : x
  2. Step 2: Convert to fraction form
    1,465.44/2,022.48 = 844.56/x
  3. Step 3: Cross multiply
    1,465.44x = 2,022.48 × 844.56
  4. Step 4: Simplify right side
    1,465.44x = 1,708,105.71
  5. Step 5: Solve for x
    x = 1,708,105.71/1,465.44
  6. Step 6: Final answer
    x = 1,165.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.