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Finding the Fourth Proportional to 856.23, 1,181.83 and 502.14

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Solution

The fourth proportional to 856.23, 1,181.83 and 502.14 is: 693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.23 : 1,181.83 = 502.14 : x
  2. Step 2: Convert to fraction form
    856.23/1,181.83 = 502.14/x
  3. Step 3: Cross multiply
    856.23x = 1,181.83 × 502.14
  4. Step 4: Simplify right side
    856.23x = 593,444.12
  5. Step 5: Solve for x
    x = 593,444.12/856.23
  6. Step 6: Final answer
    x = 693.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.