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Finding the Fourth Proportional to 1,508.43, 2,081.63 and 845.24

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Solution

The fourth proportional to 1,508.43, 2,081.63 and 845.24 is: 1,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.43 : 2,081.63 = 845.24 : x
  2. Step 2: Convert to fraction form
    1,508.43/2,081.63 = 845.24/x
  3. Step 3: Cross multiply
    1,508.43x = 2,081.63 × 845.24
  4. Step 4: Simplify right side
    1,508.43x = 1,759,462.31
  5. Step 5: Solve for x
    x = 1,759,462.31/1,508.43
  6. Step 6: Final answer
    x = 1,166.42

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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.