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Finding the Fourth Proportional to 1,068.10, 1,474.23 and 596.17

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Solution

The fourth proportional to 1,068.10, 1,474.23 and 596.17 is: 822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.10 : 1,474.23 = 596.17 : x
  2. Step 2: Convert to fraction form
    1,068.10/1,474.23 = 596.17/x
  3. Step 3: Cross multiply
    1,068.10x = 1,474.23 × 596.17
  4. Step 4: Simplify right side
    1,068.10x = 878,891.70
  5. Step 5: Solve for x
    x = 878,891.70/1,068.10
  6. Step 6: Final answer
    x = 822.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.