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Finding the Fourth Proportional to 1,194.21, 1,789.76 and 883.58

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Solution

The fourth proportional to 1,194.21, 1,789.76 and 883.58 is: 1,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.21 : 1,789.76 = 883.58 : x
  2. Step 2: Convert to fraction form
    1,194.21/1,789.76 = 883.58/x
  3. Step 3: Cross multiply
    1,194.21x = 1,789.76 × 883.58
  4. Step 4: Simplify right side
    1,194.21x = 1,581,389.40
  5. Step 5: Solve for x
    x = 1,581,389.40/1,194.21
  6. Step 6: Final answer
    x = 1,324.21

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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.