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Finding the Fourth Proportional to 1,022.20, 1,410.95 and 969.95

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Solution

The fourth proportional to 1,022.20, 1,410.95 and 969.95 is: 1,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.20 : 1,410.95 = 969.95 : x
  2. Step 2: Convert to fraction form
    1,022.20/1,410.95 = 969.95/x
  3. Step 3: Cross multiply
    1,022.20x = 1,410.95 × 969.95
  4. Step 4: Simplify right side
    1,022.20x = 1,368,550.95
  5. Step 5: Solve for x
    x = 1,368,550.95/1,022.20
  6. Step 6: Final answer
    x = 1,338.83

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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.