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Finding the Fourth Proportional to 1,279.40, 1,764.26 and 906.28

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Solution

The fourth proportional to 1,279.40, 1,764.26 and 906.28 is: 1,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.40 : 1,764.26 = 906.28 : x
  2. Step 2: Convert to fraction form
    1,279.40/1,764.26 = 906.28/x
  3. Step 3: Cross multiply
    1,279.40x = 1,764.26 × 906.28
  4. Step 4: Simplify right side
    1,279.40x = 1,598,913.55
  5. Step 5: Solve for x
    x = 1,598,913.55/1,279.40
  6. Step 6: Final answer
    x = 1,249.74

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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.