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Finding the Fourth Proportional to 701.22, 1,051.97 and 393.51

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Solution

The fourth proportional to 701.22, 1,051.97 and 393.51 is: 590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.22 : 1,051.97 = 393.51 : x
  2. Step 2: Convert to fraction form
    701.22/1,051.97 = 393.51/x
  3. Step 3: Cross multiply
    701.22x = 1,051.97 × 393.51
  4. Step 4: Simplify right side
    701.22x = 413,958.75
  5. Step 5: Solve for x
    x = 413,958.75/701.22
  6. Step 6: Final answer
    x = 590.34

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