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Finding the Fourth Proportional to 1,084.10, 1,495.41 and 768.92

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Solution

The fourth proportional to 1,084.10, 1,495.41 and 768.92 is: 1,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.10 : 1,495.41 = 768.92 : x
  2. Step 2: Convert to fraction form
    1,084.10/1,495.41 = 768.92/x
  3. Step 3: Cross multiply
    1,084.10x = 1,495.41 × 768.92
  4. Step 4: Simplify right side
    1,084.10x = 1,149,850.66
  5. Step 5: Solve for x
    x = 1,149,850.66/1,084.10
  6. Step 6: Final answer
    x = 1,060.65

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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.