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Finding the Fourth Proportional to 799.72, 1,103.62 and 468.34

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Solution

The fourth proportional to 799.72, 1,103.62 and 468.34 is: 646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.72 : 1,103.62 = 468.34 : x
  2. Step 2: Convert to fraction form
    799.72/1,103.62 = 468.34/x
  3. Step 3: Cross multiply
    799.72x = 1,103.62 × 468.34
  4. Step 4: Simplify right side
    799.72x = 516,863.87
  5. Step 5: Solve for x
    x = 516,863.87/799.72
  6. Step 6: Final answer
    x = 646.31

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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.