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Finding the Fourth Proportional to 889.82, 1,226.74 and 766.78

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Solution

The fourth proportional to 889.82, 1,226.74 and 766.78 is: 1,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.82 : 1,226.74 = 766.78 : x
  2. Step 2: Convert to fraction form
    889.82/1,226.74 = 766.78/x
  3. Step 3: Cross multiply
    889.82x = 1,226.74 × 766.78
  4. Step 4: Simplify right side
    889.82x = 940,639.70
  5. Step 5: Solve for x
    x = 940,639.70/889.82
  6. Step 6: Final answer
    x = 1,057.11

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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.