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Finding the Fourth Proportional to 894.52, 1,226.54 and 811.36

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Solution

The fourth proportional to 894.52, 1,226.54 and 811.36 is: 1,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.52 : 1,226.54 = 811.36 : x
  2. Step 2: Convert to fraction form
    894.52/1,226.54 = 811.36/x
  3. Step 3: Cross multiply
    894.52x = 1,226.54 × 811.36
  4. Step 4: Simplify right side
    894.52x = 995,165.49
  5. Step 5: Solve for x
    x = 995,165.49/894.52
  6. Step 6: Final answer
    x = 1,112.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.