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Finding the Fourth Proportional to 906.66, 1,366.63 and 828.74

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Solution

The fourth proportional to 906.66, 1,366.63 and 828.74 is: 1,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.66 : 1,366.63 = 828.74 : x
  2. Step 2: Convert to fraction form
    906.66/1,366.63 = 828.74/x
  3. Step 3: Cross multiply
    906.66x = 1,366.63 × 828.74
  4. Step 4: Simplify right side
    906.66x = 1,132,584.80
  5. Step 5: Solve for x
    x = 1,132,584.80/906.66
  6. Step 6: Final answer
    x = 1,249.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.