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Finding the Fourth Proportional to 856.40, 1,181.12 and 506.76

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Solution

The fourth proportional to 856.40, 1,181.12 and 506.76 is: 698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.40 : 1,181.12 = 506.76 : x
  2. Step 2: Convert to fraction form
    856.40/1,181.12 = 506.76/x
  3. Step 3: Cross multiply
    856.40x = 1,181.12 × 506.76
  4. Step 4: Simplify right side
    856.40x = 598,544.37
  5. Step 5: Solve for x
    x = 598,544.37/856.40
  6. Step 6: Final answer
    x = 698.91

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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.