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Finding the Fourth Proportional to 836.99, 1,255.70 and 289.18

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Solution

The fourth proportional to 836.99, 1,255.70 and 289.18 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.99 : 1,255.70 = 289.18 : x
  2. Step 2: Convert to fraction form
    836.99/1,255.70 = 289.18/x
  3. Step 3: Cross multiply
    836.99x = 1,255.70 × 289.18
  4. Step 4: Simplify right side
    836.99x = 363,123.33
  5. Step 5: Solve for x
    x = 363,123.33/836.99
  6. Step 6: Final answer
    x = 433.84

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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.