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Finding the Fourth Proportional to 1,008.92, 1,392.30 and 566.82

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Solution

The fourth proportional to 1,008.92, 1,392.30 and 566.82 is: 782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.92 : 1,392.30 = 566.82 : x
  2. Step 2: Convert to fraction form
    1,008.92/1,392.30 = 566.82/x
  3. Step 3: Cross multiply
    1,008.92x = 1,392.30 × 566.82
  4. Step 4: Simplify right side
    1,008.92x = 789,183.49
  5. Step 5: Solve for x
    x = 789,183.49/1,008.92
  6. Step 6: Final answer
    x = 782.20

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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.