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Finding the Fourth Proportional to 856.18, 1,284.68 and 466.17

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Solution

The fourth proportional to 856.18, 1,284.68 and 466.17 is: 699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.18 : 1,284.68 = 466.17 : x
  2. Step 2: Convert to fraction form
    856.18/1,284.68 = 466.17/x
  3. Step 3: Cross multiply
    856.18x = 1,284.68 × 466.17
  4. Step 4: Simplify right side
    856.18x = 598,879.28
  5. Step 5: Solve for x
    x = 598,879.28/856.18
  6. Step 6: Final answer
    x = 699.48

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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.