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Finding the Fourth Proportional to 1,081.63, 1,622.45 and 594.42

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Solution

The fourth proportional to 1,081.63, 1,622.45 and 594.42 is: 891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.63 : 1,622.45 = 594.42 : x
  2. Step 2: Convert to fraction form
    1,081.63/1,622.45 = 594.42/x
  3. Step 3: Cross multiply
    1,081.63x = 1,622.45 × 594.42
  4. Step 4: Simplify right side
    1,081.63x = 964,416.73
  5. Step 5: Solve for x
    x = 964,416.73/1,081.63
  6. Step 6: Final answer
    x = 891.63

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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.