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Finding the Fourth Proportional to 1,091.41, 1,506.09 and 594.02

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Solution

The fourth proportional to 1,091.41, 1,506.09 and 594.02 is: 819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.41 : 1,506.09 = 594.02 : x
  2. Step 2: Convert to fraction form
    1,091.41/1,506.09 = 594.02/x
  3. Step 3: Cross multiply
    1,091.41x = 1,506.09 × 594.02
  4. Step 4: Simplify right side
    1,091.41x = 894,640.05
  5. Step 5: Solve for x
    x = 894,640.05/1,091.41
  6. Step 6: Final answer
    x = 819.71

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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.