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Finding the Fourth Proportional to 1,100.24, 1,650.32 and 369.80

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Solution

The fourth proportional to 1,100.24, 1,650.32 and 369.80 is: 554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.24 : 1,650.32 = 369.80 : x
  2. Step 2: Convert to fraction form
    1,100.24/1,650.32 = 369.80/x
  3. Step 3: Cross multiply
    1,100.24x = 1,650.32 × 369.80
  4. Step 4: Simplify right side
    1,100.24x = 610,278.24
  5. Step 5: Solve for x
    x = 610,278.24/1,100.24
  6. Step 6: Final answer
    x = 554.68

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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.