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Finding the Fourth Proportional to 1,089.77, 1,633.13 and 596.18

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Solution

The fourth proportional to 1,089.77, 1,633.13 and 596.18 is: 893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.77 : 1,633.13 = 596.18 : x
  2. Step 2: Convert to fraction form
    1,089.77/1,633.13 = 596.18/x
  3. Step 3: Cross multiply
    1,089.77x = 1,633.13 × 596.18
  4. Step 4: Simplify right side
    1,089.77x = 973,639.44
  5. Step 5: Solve for x
    x = 973,639.44/1,089.77
  6. Step 6: Final answer
    x = 893.44

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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.