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Finding the Fourth Proportional to 938.21, 1,293.86 and 742.19

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Solution

The fourth proportional to 938.21, 1,293.86 and 742.19 is: 1,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.21 : 1,293.86 = 742.19 : x
  2. Step 2: Convert to fraction form
    938.21/1,293.86 = 742.19/x
  3. Step 3: Cross multiply
    938.21x = 1,293.86 × 742.19
  4. Step 4: Simplify right side
    938.21x = 960,286.24
  5. Step 5: Solve for x
    x = 960,286.24/938.21
  6. Step 6: Final answer
    x = 1,023.53

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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.