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Finding the Fourth Proportional to 856.23, 1,283.79 and 300.81

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Solution

The fourth proportional to 856.23, 1,283.79 and 300.81 is: 451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.23 : 1,283.79 = 300.81 : x
  2. Step 2: Convert to fraction form
    856.23/1,283.79 = 300.81/x
  3. Step 3: Cross multiply
    856.23x = 1,283.79 × 300.81
  4. Step 4: Simplify right side
    856.23x = 386,176.87
  5. Step 5: Solve for x
    x = 386,176.87/856.23
  6. Step 6: Final answer
    x = 451.02

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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.