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Finding the Fourth Proportional to 684.92, 1,027.58 and 294.73

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Solution

The fourth proportional to 684.92, 1,027.58 and 294.73 is: 442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.92 : 1,027.58 = 294.73 : x
  2. Step 2: Convert to fraction form
    684.92/1,027.58 = 294.73/x
  3. Step 3: Cross multiply
    684.92x = 1,027.58 × 294.73
  4. Step 4: Simplify right side
    684.92x = 302,856.82
  5. Step 5: Solve for x
    x = 302,856.82/684.92
  6. Step 6: Final answer
    x = 442.18

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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.