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Finding the Fourth Proportional to 839.13, 1,259 and 546.61

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Solution

The fourth proportional to 839.13, 1,259 and 546.61 is: 820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.13 : 1,259 = 546.61 : x
  2. Step 2: Convert to fraction form
    839.13/1,259 = 546.61/x
  3. Step 3: Cross multiply
    839.13x = 1,259 × 546.61
  4. Step 4: Simplify right side
    839.13x = 688,181.99
  5. Step 5: Solve for x
    x = 688,181.99/839.13
  6. Step 6: Final answer
    x = 820.11

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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.