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Finding the Fourth Proportional to 837.56, 1,256.30 and 289.69

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Solution

The fourth proportional to 837.56, 1,256.30 and 289.69 is: 434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.56 : 1,256.30 = 289.69 : x
  2. Step 2: Convert to fraction form
    837.56/1,256.30 = 289.69/x
  3. Step 3: Cross multiply
    837.56x = 1,256.30 × 289.69
  4. Step 4: Simplify right side
    837.56x = 363,929.82
  5. Step 5: Solve for x
    x = 363,929.82/837.56
  6. Step 6: Final answer
    x = 434.51

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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.