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Finding the Fourth Proportional to 684.45, 1,026.67 and 547.31

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Solution

The fourth proportional to 684.45, 1,026.67 and 547.31 is: 820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.45 : 1,026.67 = 547.31 : x
  2. Step 2: Convert to fraction form
    684.45/1,026.67 = 547.31/x
  3. Step 3: Cross multiply
    684.45x = 1,026.67 × 547.31
  4. Step 4: Simplify right side
    684.45x = 561,906.76
  5. Step 5: Solve for x
    x = 561,906.76/684.45
  6. Step 6: Final answer
    x = 820.96

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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.