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Finding the Fourth Proportional to 1,205.44, 1,806.72 and 555.52

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Solution

The fourth proportional to 1,205.44, 1,806.72 and 555.52 is: 832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.44 : 1,806.72 = 555.52 : x
  2. Step 2: Convert to fraction form
    1,205.44/1,806.72 = 555.52/x
  3. Step 3: Cross multiply
    1,205.44x = 1,806.72 × 555.52
  4. Step 4: Simplify right side
    1,205.44x = 1,003,669.09
  5. Step 5: Solve for x
    x = 1,003,669.09/1,205.44
  6. Step 6: Final answer
    x = 832.62

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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.