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Finding the Fourth Proportional to 859.35, 1,289.02 and 210.08

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Solution

The fourth proportional to 859.35, 1,289.02 and 210.08 is: 315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.35 : 1,289.02 = 210.08 : x
  2. Step 2: Convert to fraction form
    859.35/1,289.02 = 210.08/x
  3. Step 3: Cross multiply
    859.35x = 1,289.02 × 210.08
  4. Step 4: Simplify right side
    859.35x = 270,797.32
  5. Step 5: Solve for x
    x = 270,797.32/859.35
  6. Step 6: Final answer
    x = 315.12

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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.