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Finding the Fourth Proportional to 859.16, 1,288.74 and 209.89

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Solution

The fourth proportional to 859.16, 1,288.74 and 209.89 is: 314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.16 : 1,288.74 = 209.89 : x
  2. Step 2: Convert to fraction form
    859.16/1,288.74 = 209.89/x
  3. Step 3: Cross multiply
    859.16x = 1,288.74 × 209.89
  4. Step 4: Simplify right side
    859.16x = 270,492.59
  5. Step 5: Solve for x
    x = 270,492.59/859.16
  6. Step 6: Final answer
    x = 314.83

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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.