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Finding the Fourth Proportional to 837.96, 1,256.64 and 491.44

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Solution

The fourth proportional to 837.96, 1,256.64 and 491.44 is: 736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.96 : 1,256.64 = 491.44 : x
  2. Step 2: Convert to fraction form
    837.96/1,256.64 = 491.44/x
  3. Step 3: Cross multiply
    837.96x = 1,256.64 × 491.44
  4. Step 4: Simplify right side
    837.96x = 617,563.16
  5. Step 5: Solve for x
    x = 617,563.16/837.96
  6. Step 6: Final answer
    x = 736.98

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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.