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Finding the Fourth Proportional to 701.86, 1,052.83 and 393.47

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Solution

The fourth proportional to 701.86, 1,052.83 and 393.47 is: 590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.86 : 1,052.83 = 393.47 : x
  2. Step 2: Convert to fraction form
    701.86/1,052.83 = 393.47/x
  3. Step 3: Cross multiply
    701.86x = 1,052.83 × 393.47
  4. Step 4: Simplify right side
    701.86x = 414,257.02
  5. Step 5: Solve for x
    x = 414,257.02/701.86
  6. Step 6: Final answer
    x = 590.23

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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.