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Finding the Fourth Proportional to 856.41, 1,181.78 and 502.32

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Solution

The fourth proportional to 856.41, 1,181.78 and 502.32 is: 693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.41 : 1,181.78 = 502.32 : x
  2. Step 2: Convert to fraction form
    856.41/1,181.78 = 502.32/x
  3. Step 3: Cross multiply
    856.41x = 1,181.78 × 502.32
  4. Step 4: Simplify right side
    856.41x = 593,629.22
  5. Step 5: Solve for x
    x = 593,629.22/856.41
  6. Step 6: Final answer
    x = 693.16

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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.