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Finding the Fourth Proportional to 1,260.06, 1,734.57 and 1,093.29

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Solution

The fourth proportional to 1,260.06, 1,734.57 and 1,093.29 is: 1,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.06 : 1,734.57 = 1,093.29 : x
  2. Step 2: Convert to fraction form
    1,260.06/1,734.57 = 1,093.29/x
  3. Step 3: Cross multiply
    1,260.06x = 1,734.57 × 1,093.29
  4. Step 4: Simplify right side
    1,260.06x = 1,896,388.04
  5. Step 5: Solve for x
    x = 1,896,388.04/1,260.06
  6. Step 6: Final answer
    x = 1,505.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.