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Finding the Fourth Proportional to 1,068.29, 1,474.25 and 596.19

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Solution

The fourth proportional to 1,068.29, 1,474.25 and 596.19 is: 822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.29 : 1,474.25 = 596.19 : x
  2. Step 2: Convert to fraction form
    1,068.29/1,474.25 = 596.19/x
  3. Step 3: Cross multiply
    1,068.29x = 1,474.25 × 596.19
  4. Step 4: Simplify right side
    1,068.29x = 878,933.11
  5. Step 5: Solve for x
    x = 878,933.11/1,068.29
  6. Step 6: Final answer
    x = 822.75

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Why These Related Problems?

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