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Finding the Fourth Proportional to 1,100.00, 1,648.86 and 369.33

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Solution

The fourth proportional to 1,100.00, 1,648.86 and 369.33 is: 553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.00 : 1,648.86 = 369.33 : x
  2. Step 2: Convert to fraction form
    1,100.00/1,648.86 = 369.33/x
  3. Step 3: Cross multiply
    1,100.00x = 1,648.86 × 369.33
  4. Step 4: Simplify right side
    1,100.00x = 608,973.46
  5. Step 5: Solve for x
    x = 608,973.46/1,100.00
  6. Step 6: Final answer
    x = 553.61

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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.