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Finding the Fourth Proportional to 999.82, 1,505.05 and 769.96

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Solution

The fourth proportional to 999.82, 1,505.05 and 769.96 is: 1,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.82 : 1,505.05 = 769.96 : x
  2. Step 2: Convert to fraction form
    999.82/1,505.05 = 769.96/x
  3. Step 3: Cross multiply
    999.82x = 1,505.05 × 769.96
  4. Step 4: Simplify right side
    999.82x = 1,158,828.30
  5. Step 5: Solve for x
    x = 1,158,828.30/999.82
  6. Step 6: Final answer
    x = 1,159.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.