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Finding the Fourth Proportional to 1,090, 1,634.48 and 541.54

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Solution

The fourth proportional to 1,090, 1,634.48 and 541.54 is: 812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090 : 1,634.48 = 541.54 : x
  2. Step 2: Convert to fraction form
    1,090/1,634.48 = 541.54/x
  3. Step 3: Cross multiply
    1,090x = 1,634.48 × 541.54
  4. Step 4: Simplify right side
    1,090x = 885,136.30
  5. Step 5: Solve for x
    x = 885,136.30/1,090
  6. Step 6: Final answer
    x = 812.05

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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.