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Finding the Fourth Proportional to 684.44, 1,026.80 and 251.60

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Solution

The fourth proportional to 684.44, 1,026.80 and 251.60 is: 377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.44 : 1,026.80 = 251.60 : x
  2. Step 2: Convert to fraction form
    684.44/1,026.80 = 251.60/x
  3. Step 3: Cross multiply
    684.44x = 1,026.80 × 251.60
  4. Step 4: Simplify right side
    684.44x = 258,342.88
  5. Step 5: Solve for x
    x = 258,342.88/684.44
  6. Step 6: Final answer
    x = 377.45

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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.