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Finding the Fourth Proportional to 940.44, 1,297.88 and 542.23

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Solution

The fourth proportional to 940.44, 1,297.88 and 542.23 is: 748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.44 : 1,297.88 = 542.23 : x
  2. Step 2: Convert to fraction form
    940.44/1,297.88 = 542.23/x
  3. Step 3: Cross multiply
    940.44x = 1,297.88 × 542.23
  4. Step 4: Simplify right side
    940.44x = 703,749.47
  5. Step 5: Solve for x
    x = 703,749.47/940.44
  6. Step 6: Final answer
    x = 748.32

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Double scale
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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.