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Finding the Fourth Proportional to 682.03, 1,022.10 and 373.51

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Solution

The fourth proportional to 682.03, 1,022.10 and 373.51 is: 559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 1,022.10 = 373.51 : x
  2. Step 2: Convert to fraction form
    682.03/1,022.10 = 373.51/x
  3. Step 3: Cross multiply
    682.03x = 1,022.10 × 373.51
  4. Step 4: Simplify right side
    682.03x = 381,764.57
  5. Step 5: Solve for x
    x = 381,764.57/682.03
  6. Step 6: Final answer
    x = 559.75

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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.