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Finding the Fourth Proportional to 999.31, 1,380.51 and 790.87

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Solution

The fourth proportional to 999.31, 1,380.51 and 790.87 is: 1,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.31 : 1,380.51 = 790.87 : x
  2. Step 2: Convert to fraction form
    999.31/1,380.51 = 790.87/x
  3. Step 3: Cross multiply
    999.31x = 1,380.51 × 790.87
  4. Step 4: Simplify right side
    999.31x = 1,091,803.94
  5. Step 5: Solve for x
    x = 1,091,803.94/999.31
  6. Step 6: Final answer
    x = 1,092.56

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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.