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Finding the Fourth Proportional to 856.04, 1,286.34 and 466.32

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Solution

The fourth proportional to 856.04, 1,286.34 and 466.32 is: 700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.04 : 1,286.34 = 466.32 : x
  2. Step 2: Convert to fraction form
    856.04/1,286.34 = 466.32/x
  3. Step 3: Cross multiply
    856.04x = 1,286.34 × 466.32
  4. Step 4: Simplify right side
    856.04x = 599,846.07
  5. Step 5: Solve for x
    x = 599,846.07/856.04
  6. Step 6: Final answer
    x = 700.72

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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.