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Finding the Fourth Proportional to 938.78, 1,296.54 and 731.48

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Solution

The fourth proportional to 938.78, 1,296.54 and 731.48 is: 1,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.78 : 1,296.54 = 731.48 : x
  2. Step 2: Convert to fraction form
    938.78/1,296.54 = 731.48/x
  3. Step 3: Cross multiply
    938.78x = 1,296.54 × 731.48
  4. Step 4: Simplify right side
    938.78x = 948,393.08
  5. Step 5: Solve for x
    x = 948,393.08/938.78
  6. Step 6: Final answer
    x = 1,010.24

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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.