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Finding the Fourth Proportional to 1,234.06, 1,703.01 and 674.54

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Solution

The fourth proportional to 1,234.06, 1,703.01 and 674.54 is: 930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.06 : 1,703.01 = 674.54 : x
  2. Step 2: Convert to fraction form
    1,234.06/1,703.01 = 674.54/x
  3. Step 3: Cross multiply
    1,234.06x = 1,703.01 × 674.54
  4. Step 4: Simplify right side
    1,234.06x = 1,148,748.37
  5. Step 5: Solve for x
    x = 1,148,748.37/1,234.06
  6. Step 6: Final answer
    x = 930.87

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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.