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Finding the Fourth Proportional to 704.58, 1,057.32 and 487.77

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Solution

The fourth proportional to 704.58, 1,057.32 and 487.77 is: 731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.58 : 1,057.32 = 487.77 : x
  2. Step 2: Convert to fraction form
    704.58/1,057.32 = 487.77/x
  3. Step 3: Cross multiply
    704.58x = 1,057.32 × 487.77
  4. Step 4: Simplify right side
    704.58x = 515,728.98
  5. Step 5: Solve for x
    x = 515,728.98/704.58
  6. Step 6: Final answer
    x = 731.97

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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.