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Finding the Fourth Proportional to 1,091.57, 1,506.44 and 649.49

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Solution

The fourth proportional to 1,091.57, 1,506.44 and 649.49 is: 896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.57 : 1,506.44 = 649.49 : x
  2. Step 2: Convert to fraction form
    1,091.57/1,506.44 = 649.49/x
  3. Step 3: Cross multiply
    1,091.57x = 1,506.44 × 649.49
  4. Step 4: Simplify right side
    1,091.57x = 978,414.47
  5. Step 5: Solve for x
    x = 978,414.47/1,091.57
  6. Step 6: Final answer
    x = 896.34

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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.