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Finding the Fourth Proportional to 1,083.20, 1,621.49 and 594.77

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Solution

The fourth proportional to 1,083.20, 1,621.49 and 594.77 is: 890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.20 : 1,621.49 = 594.77 : x
  2. Step 2: Convert to fraction form
    1,083.20/1,621.49 = 594.77/x
  3. Step 3: Cross multiply
    1,083.20x = 1,621.49 × 594.77
  4. Step 4: Simplify right side
    1,083.20x = 964,402.53
  5. Step 5: Solve for x
    x = 964,402.53/1,083.20
  6. Step 6: Final answer
    x = 890.33

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