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Finding the Fourth Proportional to 1,148.06, 1,723.23 and 600.09

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Solution

The fourth proportional to 1,148.06, 1,723.23 and 600.09 is: 900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.06 : 1,723.23 = 600.09 : x
  2. Step 2: Convert to fraction form
    1,148.06/1,723.23 = 600.09/x
  3. Step 3: Cross multiply
    1,148.06x = 1,723.23 × 600.09
  4. Step 4: Simplify right side
    1,148.06x = 1,034,093.09
  5. Step 5: Solve for x
    x = 1,034,093.09/1,148.06
  6. Step 6: Final answer
    x = 900.73

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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.