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Finding the Fourth Proportional to 856.16, 1,181.08 and 506.68

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Solution

The fourth proportional to 856.16, 1,181.08 and 506.68 is: 698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.16 : 1,181.08 = 506.68 : x
  2. Step 2: Convert to fraction form
    856.16/1,181.08 = 506.68/x
  3. Step 3: Cross multiply
    856.16x = 1,181.08 × 506.68
  4. Step 4: Simplify right side
    856.16x = 598,429.61
  5. Step 5: Solve for x
    x = 598,429.61/856.16
  6. Step 6: Final answer
    x = 698.97

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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.