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Finding the Fourth Proportional to 856.75, 1,285.51 and 466.16

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Solution

The fourth proportional to 856.75, 1,285.51 and 466.16 is: 699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.75 : 1,285.51 = 466.16 : x
  2. Step 2: Convert to fraction form
    856.75/1,285.51 = 466.16/x
  3. Step 3: Cross multiply
    856.75x = 1,285.51 × 466.16
  4. Step 4: Simplify right side
    856.75x = 599,258.01
  5. Step 5: Solve for x
    x = 599,258.01/856.75
  6. Step 6: Final answer
    x = 699.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.