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Finding the Fourth Proportional to 1,024.31, 1,414.08 and 799.76

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Solution

The fourth proportional to 1,024.31, 1,414.08 and 799.76 is: 1,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.31 : 1,414.08 = 799.76 : x
  2. Step 2: Convert to fraction form
    1,024.31/1,414.08 = 799.76/x
  3. Step 3: Cross multiply
    1,024.31x = 1,414.08 × 799.76
  4. Step 4: Simplify right side
    1,024.31x = 1,130,924.62
  5. Step 5: Solve for x
    x = 1,130,924.62/1,024.31
  6. Step 6: Final answer
    x = 1,104.08

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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.