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Finding the Fourth Proportional to 1,100.37, 1,650.32 and 320.19

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Solution

The fourth proportional to 1,100.37, 1,650.32 and 320.19 is: 480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.37 : 1,650.32 = 320.19 : x
  2. Step 2: Convert to fraction form
    1,100.37/1,650.32 = 320.19/x
  3. Step 3: Cross multiply
    1,100.37x = 1,650.32 × 320.19
  4. Step 4: Simplify right side
    1,100.37x = 528,414.36
  5. Step 5: Solve for x
    x = 528,414.36/1,100.37
  6. Step 6: Final answer
    x = 480.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.