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Finding the Fourth Proportional to 684.50, 1,026.79 and 245.54

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Solution

The fourth proportional to 684.50, 1,026.79 and 245.54 is: 368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.50 : 1,026.79 = 245.54 : x
  2. Step 2: Convert to fraction form
    684.50/1,026.79 = 245.54/x
  3. Step 3: Cross multiply
    684.50x = 1,026.79 × 245.54
  4. Step 4: Simplify right side
    684.50x = 252,112.27
  5. Step 5: Solve for x
    x = 252,112.27/684.50
  6. Step 6: Final answer
    x = 368.31

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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.