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Finding the Fourth Proportional to 1,100.22, 1,650.34 and 475.40

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Solution

The fourth proportional to 1,100.22, 1,650.34 and 475.40 is: 713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.22 : 1,650.34 = 475.40 : x
  2. Step 2: Convert to fraction form
    1,100.22/1,650.34 = 475.40/x
  3. Step 3: Cross multiply
    1,100.22x = 1,650.34 × 475.40
  4. Step 4: Simplify right side
    1,100.22x = 784,571.64
  5. Step 5: Solve for x
    x = 784,571.64/1,100.22
  6. Step 6: Final answer
    x = 713.10

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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.