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Finding the Fourth Proportional to 856.13, 1,283.99 and 239.86

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Solution

The fourth proportional to 856.13, 1,283.99 and 239.86 is: 359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.13 : 1,283.99 = 239.86 : x
  2. Step 2: Convert to fraction form
    856.13/1,283.99 = 239.86/x
  3. Step 3: Cross multiply
    856.13x = 1,283.99 × 239.86
  4. Step 4: Simplify right side
    856.13x = 307,977.84
  5. Step 5: Solve for x
    x = 307,977.84/856.13
  6. Step 6: Final answer
    x = 359.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.