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Finding the Fourth Proportional to 856.98, 1,286.34 and 533.16

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Solution

The fourth proportional to 856.98, 1,286.34 and 533.16 is: 800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.98 : 1,286.34 = 533.16 : x
  2. Step 2: Convert to fraction form
    856.98/1,286.34 = 533.16/x
  3. Step 3: Cross multiply
    856.98x = 1,286.34 × 533.16
  4. Step 4: Simplify right side
    856.98x = 685,825.03
  5. Step 5: Solve for x
    x = 685,825.03/856.98
  6. Step 6: Final answer
    x = 800.28

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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.