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Finding the Fourth Proportional to 836.47, 1,254.33 and 259.21

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Solution

The fourth proportional to 836.47, 1,254.33 and 259.21 is: 388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.47 : 1,254.33 = 259.21 : x
  2. Step 2: Convert to fraction form
    836.47/1,254.33 = 259.21/x
  3. Step 3: Cross multiply
    836.47x = 1,254.33 × 259.21
  4. Step 4: Simplify right side
    836.47x = 325,134.88
  5. Step 5: Solve for x
    x = 325,134.88/836.47
  6. Step 6: Final answer
    x = 388.70

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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.