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Finding the Fourth Proportional to 938.25, 1,291.14 and 716.31

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Solution

The fourth proportional to 938.25, 1,291.14 and 716.31 is: 985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.25 : 1,291.14 = 716.31 : x
  2. Step 2: Convert to fraction form
    938.25/1,291.14 = 716.31/x
  3. Step 3: Cross multiply
    938.25x = 1,291.14 × 716.31
  4. Step 4: Simplify right side
    938.25x = 924,856.49
  5. Step 5: Solve for x
    x = 924,856.49/938.25
  6. Step 6: Final answer
    x = 985.73

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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.