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Finding the Fourth Proportional to 837.72, 1,257.12 and 594.72

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Solution

The fourth proportional to 837.72, 1,257.12 and 594.72 is: 892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.72 : 1,257.12 = 594.72 : x
  2. Step 2: Convert to fraction form
    837.72/1,257.12 = 594.72/x
  3. Step 3: Cross multiply
    837.72x = 1,257.12 × 594.72
  4. Step 4: Simplify right side
    837.72x = 747,634.41
  5. Step 5: Solve for x
    x = 747,634.41/837.72
  6. Step 6: Final answer
    x = 892.46

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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.