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Finding the Fourth Proportional to 704.86, 1,057.46 and 293.77

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Solution

The fourth proportional to 704.86, 1,057.46 and 293.77 is: 440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.86 : 1,057.46 = 293.77 : x
  2. Step 2: Convert to fraction form
    704.86/1,057.46 = 293.77/x
  3. Step 3: Cross multiply
    704.86x = 1,057.46 × 293.77
  4. Step 4: Simplify right side
    704.86x = 310,650.02
  5. Step 5: Solve for x
    x = 310,650.02/704.86
  6. Step 6: Final answer
    x = 440.73

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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.