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Finding the Fourth Proportional to 684.50, 1,023.62 and 511.28

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Solution

The fourth proportional to 684.50, 1,023.62 and 511.28 is: 764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.50 : 1,023.62 = 511.28 : x
  2. Step 2: Convert to fraction form
    684.50/1,023.62 = 511.28/x
  3. Step 3: Cross multiply
    684.50x = 1,023.62 × 511.28
  4. Step 4: Simplify right side
    684.50x = 523,356.43
  5. Step 5: Solve for x
    x = 523,356.43/684.50
  6. Step 6: Final answer
    x = 764.58

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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.