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Finding the Fourth Proportional to 742.64, 1,113.86 and 194.84

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Solution

The fourth proportional to 742.64, 1,113.86 and 194.84 is: 292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.64 : 1,113.86 = 194.84 : x
  2. Step 2: Convert to fraction form
    742.64/1,113.86 = 194.84/x
  3. Step 3: Cross multiply
    742.64x = 1,113.86 × 194.84
  4. Step 4: Simplify right side
    742.64x = 217,024.48
  5. Step 5: Solve for x
    x = 217,024.48/742.64
  6. Step 6: Final answer
    x = 292.23

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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.