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Finding the Fourth Proportional to 1,234.56, 1,849.40 and 648.69

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Solution

The fourth proportional to 1,234.56, 1,849.40 and 648.69 is: 971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.56 : 1,849.40 = 648.69 : x
  2. Step 2: Convert to fraction form
    1,234.56/1,849.40 = 648.69/x
  3. Step 3: Cross multiply
    1,234.56x = 1,849.40 × 648.69
  4. Step 4: Simplify right side
    1,234.56x = 1,199,687.29
  5. Step 5: Solve for x
    x = 1,199,687.29/1,234.56
  6. Step 6: Final answer
    x = 971.75

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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.