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Finding the Fourth Proportional to 1,090.80, 1,636.61 and 360.59

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Solution

The fourth proportional to 1,090.80, 1,636.61 and 360.59 is: 541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.80 : 1,636.61 = 360.59 : x
  2. Step 2: Convert to fraction form
    1,090.80/1,636.61 = 360.59/x
  3. Step 3: Cross multiply
    1,090.80x = 1,636.61 × 360.59
  4. Step 4: Simplify right side
    1,090.80x = 590,135.21
  5. Step 5: Solve for x
    x = 590,135.21/1,090.80
  6. Step 6: Final answer
    x = 541.01

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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.