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Finding the Fourth Proportional to 1,083.65, 1,622.71 and 596.17

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Solution

The fourth proportional to 1,083.65, 1,622.71 and 596.17 is: 892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.65 : 1,622.71 = 596.17 : x
  2. Step 2: Convert to fraction form
    1,083.65/1,622.71 = 596.17/x
  3. Step 3: Cross multiply
    1,083.65x = 1,622.71 × 596.17
  4. Step 4: Simplify right side
    1,083.65x = 967,399.93
  5. Step 5: Solve for x
    x = 967,399.93/1,083.65
  6. Step 6: Final answer
    x = 892.72

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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.