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Finding the Fourth Proportional to 799.40, 1,103.15 and 463.34

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Solution

The fourth proportional to 799.40, 1,103.15 and 463.34 is: 639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.40 : 1,103.15 = 463.34 : x
  2. Step 2: Convert to fraction form
    799.40/1,103.15 = 463.34/x
  3. Step 3: Cross multiply
    799.40x = 1,103.15 × 463.34
  4. Step 4: Simplify right side
    799.40x = 511,125.69
  5. Step 5: Solve for x
    x = 511,125.69/799.40
  6. Step 6: Final answer
    x = 639.39

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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.