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Finding the Fourth Proportional to 836.66, 1,255.37 and 289.24

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Solution

The fourth proportional to 836.66, 1,255.37 and 289.24 is: 433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.66 : 1,255.37 = 289.24 : x
  2. Step 2: Convert to fraction form
    836.66/1,255.37 = 289.24/x
  3. Step 3: Cross multiply
    836.66x = 1,255.37 × 289.24
  4. Step 4: Simplify right side
    836.66x = 363,098.63
  5. Step 5: Solve for x
    x = 363,098.63/836.66
  6. Step 6: Final answer
    x = 433.98

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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.