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Finding the Fourth Proportional to 682.32, 1,023.46 and 374.32

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Solution

The fourth proportional to 682.32, 1,023.46 and 374.32 is: 561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.32 : 1,023.46 = 374.32 : x
  2. Step 2: Convert to fraction form
    682.32/1,023.46 = 374.32/x
  3. Step 3: Cross multiply
    682.32x = 1,023.46 × 374.32
  4. Step 4: Simplify right side
    682.32x = 383,098.05
  5. Step 5: Solve for x
    x = 383,098.05/682.32
  6. Step 6: Final answer
    x = 561.46

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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.