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Finding the Fourth Proportional to 682.42, 1,023.94 and 374.50

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Solution

The fourth proportional to 682.42, 1,023.94 and 374.50 is: 561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.42 : 1,023.94 = 374.50 : x
  2. Step 2: Convert to fraction form
    682.42/1,023.94 = 374.50/x
  3. Step 3: Cross multiply
    682.42x = 1,023.94 × 374.50
  4. Step 4: Simplify right side
    682.42x = 383,465.53
  5. Step 5: Solve for x
    x = 383,465.53/682.42
  6. Step 6: Final answer
    x = 561.92

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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.