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Finding the Fourth Proportional to 682.23, 1,023.65 and 369.98

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Solution

The fourth proportional to 682.23, 1,023.65 and 369.98 is: 555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.23 : 1,023.65 = 369.98 : x
  2. Step 2: Convert to fraction form
    682.23/1,023.65 = 369.98/x
  3. Step 3: Cross multiply
    682.23x = 1,023.65 × 369.98
  4. Step 4: Simplify right side
    682.23x = 378,725.83
  5. Step 5: Solve for x
    x = 378,725.83/682.23
  6. Step 6: Final answer
    x = 555.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.