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Finding the Fourth Proportional to 1,105.51, 1,662.21 and 1,019.90

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Solution

The fourth proportional to 1,105.51, 1,662.21 and 1,019.90 is: 1,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.51 : 1,662.21 = 1,019.90 : x
  2. Step 2: Convert to fraction form
    1,105.51/1,662.21 = 1,019.90/x
  3. Step 3: Cross multiply
    1,105.51x = 1,662.21 × 1,019.90
  4. Step 4: Simplify right side
    1,105.51x = 1,695,287.98
  5. Step 5: Solve for x
    x = 1,695,287.98/1,105.51
  6. Step 6: Final answer
    x = 1,533.49

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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.