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Finding the Fourth Proportional to 1,072.19, 1,608.59 and 552.57

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Solution

The fourth proportional to 1,072.19, 1,608.59 and 552.57 is: 829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.19 : 1,608.59 = 552.57 : x
  2. Step 2: Convert to fraction form
    1,072.19/1,608.59 = 552.57/x
  3. Step 3: Cross multiply
    1,072.19x = 1,608.59 × 552.57
  4. Step 4: Simplify right side
    1,072.19x = 888,858.58
  5. Step 5: Solve for x
    x = 888,858.58/1,072.19
  6. Step 6: Final answer
    x = 829.01

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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.