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Finding the Fourth Proportional to 1,214.01, 1,821.02 and 969.39

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Solution

The fourth proportional to 1,214.01, 1,821.02 and 969.39 is: 1,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.01 : 1,821.02 = 969.39 : x
  2. Step 2: Convert to fraction form
    1,214.01/1,821.02 = 969.39/x
  3. Step 3: Cross multiply
    1,214.01x = 1,821.02 × 969.39
  4. Step 4: Simplify right side
    1,214.01x = 1,765,273.73
  5. Step 5: Solve for x
    x = 1,765,273.73/1,214.01
  6. Step 6: Final answer
    x = 1,454.09

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Similar ratio
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1.5x scale

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.