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Finding the Fourth Proportional to 856.37, 1,181.94 and 502.27

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Solution

The fourth proportional to 856.37, 1,181.94 and 502.27 is: 693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.37 : 1,181.94 = 502.27 : x
  2. Step 2: Convert to fraction form
    856.37/1,181.94 = 502.27/x
  3. Step 3: Cross multiply
    856.37x = 1,181.94 × 502.27
  4. Step 4: Simplify right side
    856.37x = 593,653.00
  5. Step 5: Solve for x
    x = 593,653.00/856.37
  6. Step 6: Final answer
    x = 693.22

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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.