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Finding the Fourth Proportional to 1,093.44, 1,508.93 and 596.09

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Solution

The fourth proportional to 1,093.44, 1,508.93 and 596.09 is: 822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.44 : 1,508.93 = 596.09 : x
  2. Step 2: Convert to fraction form
    1,093.44/1,508.93 = 596.09/x
  3. Step 3: Cross multiply
    1,093.44x = 1,508.93 × 596.09
  4. Step 4: Simplify right side
    1,093.44x = 899,451.71
  5. Step 5: Solve for x
    x = 899,451.71/1,093.44
  6. Step 6: Final answer
    x = 822.59

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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.