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Finding the Fourth Proportional to 1,090.87, 1,636.26 and 269.13

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Solution

The fourth proportional to 1,090.87, 1,636.26 and 269.13 is: 403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.87 : 1,636.26 = 269.13 : x
  2. Step 2: Convert to fraction form
    1,090.87/1,636.26 = 269.13/x
  3. Step 3: Cross multiply
    1,090.87x = 1,636.26 × 269.13
  4. Step 4: Simplify right side
    1,090.87x = 440,366.65
  5. Step 5: Solve for x
    x = 440,366.65/1,090.87
  6. Step 6: Final answer
    x = 403.68

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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.