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Finding the Fourth Proportional to 1,068.24, 1,474.07 and 596.10

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Solution

The fourth proportional to 1,068.24, 1,474.07 and 596.10 is: 822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.24 : 1,474.07 = 596.10 : x
  2. Step 2: Convert to fraction form
    1,068.24/1,474.07 = 596.10/x
  3. Step 3: Cross multiply
    1,068.24x = 1,474.07 × 596.10
  4. Step 4: Simplify right side
    1,068.24x = 878,690.15
  5. Step 5: Solve for x
    x = 878,690.15/1,068.24
  6. Step 6: Final answer
    x = 822.56

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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.