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Finding the Fourth Proportional to 1,085.31, 1,627.38 and 564.03

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Solution

The fourth proportional to 1,085.31, 1,627.38 and 564.03 is: 845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.31 : 1,627.38 = 564.03 : x
  2. Step 2: Convert to fraction form
    1,085.31/1,627.38 = 564.03/x
  3. Step 3: Cross multiply
    1,085.31x = 1,627.38 × 564.03
  4. Step 4: Simplify right side
    1,085.31x = 917,891.14
  5. Step 5: Solve for x
    x = 917,891.14/1,085.31
  6. Step 6: Final answer
    x = 845.74

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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.