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Finding the Fourth Proportional to 683.82, 1,024.92 and 358.56

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Solution

The fourth proportional to 683.82, 1,024.92 and 358.56 is: 537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.82 : 1,024.92 = 358.56 : x
  2. Step 2: Convert to fraction form
    683.82/1,024.92 = 358.56/x
  3. Step 3: Cross multiply
    683.82x = 1,024.92 × 358.56
  4. Step 4: Simplify right side
    683.82x = 367,495.32
  5. Step 5: Solve for x
    x = 367,495.32/683.82
  6. Step 6: Final answer
    x = 537.42

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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.