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Finding the Fourth Proportional to 1,331.07, 1,837.23 and 889.44

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Solution

The fourth proportional to 1,331.07, 1,837.23 and 889.44 is: 1,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.07 : 1,837.23 = 889.44 : x
  2. Step 2: Convert to fraction form
    1,331.07/1,837.23 = 889.44/x
  3. Step 3: Cross multiply
    1,331.07x = 1,837.23 × 889.44
  4. Step 4: Simplify right side
    1,331.07x = 1,634,105.85
  5. Step 5: Solve for x
    x = 1,634,105.85/1,331.07
  6. Step 6: Final answer
    x = 1,227.66

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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.