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Finding the Fourth Proportional to 811.05, 1,214.55 and 774.60

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Solution

The fourth proportional to 811.05, 1,214.55 and 774.60 is: 1,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.05 : 1,214.55 = 774.60 : x
  2. Step 2: Convert to fraction form
    811.05/1,214.55 = 774.60/x
  3. Step 3: Cross multiply
    811.05x = 1,214.55 × 774.60
  4. Step 4: Simplify right side
    811.05x = 940,790.43
  5. Step 5: Solve for x
    x = 940,790.43/811.05
  6. Step 6: Final answer
    x = 1,159.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.