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Finding the Fourth Proportional to 856.85, 1,284.26 and 466.29

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Solution

The fourth proportional to 856.85, 1,284.26 and 466.29 is: 698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.85 : 1,284.26 = 466.29 : x
  2. Step 2: Convert to fraction form
    856.85/1,284.26 = 466.29/x
  3. Step 3: Cross multiply
    856.85x = 1,284.26 × 466.29
  4. Step 4: Simplify right side
    856.85x = 598,835.26
  5. Step 5: Solve for x
    x = 598,835.26/856.85
  6. Step 6: Final answer
    x = 698.88

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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.