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Finding the Fourth Proportional to 799.73, 1,201.48 and 471.51

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Solution

The fourth proportional to 799.73, 1,201.48 and 471.51 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.73 : 1,201.48 = 471.51 : x
  2. Step 2: Convert to fraction form
    799.73/1,201.48 = 471.51/x
  3. Step 3: Cross multiply
    799.73x = 1,201.48 × 471.51
  4. Step 4: Simplify right side
    799.73x = 566,509.83
  5. Step 5: Solve for x
    x = 566,509.83/799.73
  6. Step 6: Final answer
    x = 708.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.