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Finding the Fourth Proportional to 1,090.94, 1,636.40 and 269.22

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Solution

The fourth proportional to 1,090.94, 1,636.40 and 269.22 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.94 : 1,636.40 = 269.22 : x
  2. Step 2: Convert to fraction form
    1,090.94/1,636.40 = 269.22/x
  3. Step 3: Cross multiply
    1,090.94x = 1,636.40 × 269.22
  4. Step 4: Simplify right side
    1,090.94x = 440,551.61
  5. Step 5: Solve for x
    x = 440,551.61/1,090.94
  6. Step 6: Final answer
    x = 403.83

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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.