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Finding the Fourth Proportional to 856.84, 1,286.37 and 446.27

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Solution

The fourth proportional to 856.84, 1,286.37 and 446.27 is: 669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.84 : 1,286.37 = 446.27 : x
  2. Step 2: Convert to fraction form
    856.84/1,286.37 = 446.27/x
  3. Step 3: Cross multiply
    856.84x = 1,286.37 × 446.27
  4. Step 4: Simplify right side
    856.84x = 574,068.34
  5. Step 5: Solve for x
    x = 574,068.34/856.84
  6. Step 6: Final answer
    x = 669.98

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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.