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Finding the Fourth Proportional to 856.92, 1,285.14 and 336.66

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Solution

The fourth proportional to 856.92, 1,285.14 and 336.66 is: 504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.92 : 1,285.14 = 336.66 : x
  2. Step 2: Convert to fraction form
    856.92/1,285.14 = 336.66/x
  3. Step 3: Cross multiply
    856.92x = 1,285.14 × 336.66
  4. Step 4: Simplify right side
    856.92x = 432,655.23
  5. Step 5: Solve for x
    x = 432,655.23/856.92
  6. Step 6: Final answer
    x = 504.90

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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.