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Finding the Fourth Proportional to 842.96, 1,163.16 and 493.76

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Solution

The fourth proportional to 842.96, 1,163.16 and 493.76 is: 681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.96 : 1,163.16 = 493.76 : x
  2. Step 2: Convert to fraction form
    842.96/1,163.16 = 493.76/x
  3. Step 3: Cross multiply
    842.96x = 1,163.16 × 493.76
  4. Step 4: Simplify right side
    842.96x = 574,321.88
  5. Step 5: Solve for x
    x = 574,321.88/842.96
  6. Step 6: Final answer
    x = 681.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.