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Finding the Fourth Proportional to 859.45, 1,287.80 and 836.67

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Solution

The fourth proportional to 859.45, 1,287.80 and 836.67 is: 1,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.45 : 1,287.80 = 836.67 : x
  2. Step 2: Convert to fraction form
    859.45/1,287.80 = 836.67/x
  3. Step 3: Cross multiply
    859.45x = 1,287.80 × 836.67
  4. Step 4: Simplify right side
    859.45x = 1,077,463.63
  5. Step 5: Solve for x
    x = 1,077,463.63/859.45
  6. Step 6: Final answer
    x = 1,253.67

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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.