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Finding the Fourth Proportional to 856.38, 1,284.23 and 466.71

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Solution

The fourth proportional to 856.38, 1,284.23 and 466.71 is: 699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.38 : 1,284.23 = 466.71 : x
  2. Step 2: Convert to fraction form
    856.38/1,284.23 = 466.71/x
  3. Step 3: Cross multiply
    856.38x = 1,284.23 × 466.71
  4. Step 4: Simplify right side
    856.38x = 599,356.56
  5. Step 5: Solve for x
    x = 599,356.56/856.38
  6. Step 6: Final answer
    x = 699.87

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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.