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Finding the Fourth Proportional to 839.58, 1,257.93 and 546.63

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Solution

The fourth proportional to 839.58, 1,257.93 and 546.63 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.58 : 1,257.93 = 546.63 : x
  2. Step 2: Convert to fraction form
    839.58/1,257.93 = 546.63/x
  3. Step 3: Cross multiply
    839.58x = 1,257.93 × 546.63
  4. Step 4: Simplify right side
    839.58x = 687,622.28
  5. Step 5: Solve for x
    x = 687,622.28/839.58
  6. Step 6: Final answer
    x = 819.01

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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.