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Finding the Fourth Proportional to 1,081.90, 1,623.10 and 594.82

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Solution

The fourth proportional to 1,081.90, 1,623.10 and 594.82 is: 892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.90 : 1,623.10 = 594.82 : x
  2. Step 2: Convert to fraction form
    1,081.90/1,623.10 = 594.82/x
  3. Step 3: Cross multiply
    1,081.90x = 1,623.10 × 594.82
  4. Step 4: Simplify right side
    1,081.90x = 965,452.34
  5. Step 5: Solve for x
    x = 965,452.34/1,081.90
  6. Step 6: Final answer
    x = 892.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.