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Finding the Fourth Proportional to 1,108.42, 1,662.28 and 450.07

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Solution

The fourth proportional to 1,108.42, 1,662.28 and 450.07 is: 674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.42 : 1,662.28 = 450.07 : x
  2. Step 2: Convert to fraction form
    1,108.42/1,662.28 = 450.07/x
  3. Step 3: Cross multiply
    1,108.42x = 1,662.28 × 450.07
  4. Step 4: Simplify right side
    1,108.42x = 748,142.36
  5. Step 5: Solve for x
    x = 748,142.36/1,108.42
  6. Step 6: Final answer
    x = 674.96

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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.