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Finding the Fourth Proportional to 684.65, 1,027.07 and 251.77

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Solution

The fourth proportional to 684.65, 1,027.07 and 251.77 is: 377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.65 : 1,027.07 = 251.77 : x
  2. Step 2: Convert to fraction form
    684.65/1,027.07 = 251.77/x
  3. Step 3: Cross multiply
    684.65x = 1,027.07 × 251.77
  4. Step 4: Simplify right side
    684.65x = 258,581.59
  5. Step 5: Solve for x
    x = 258,581.59/684.65
  6. Step 6: Final answer
    x = 377.69

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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.