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Finding the Fourth Proportional to 683.34, 1,024.62 and 375.12

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Solution

The fourth proportional to 683.34, 1,024.62 and 375.12 is: 562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.34 : 1,024.62 = 375.12 : x
  2. Step 2: Convert to fraction form
    683.34/1,024.62 = 375.12/x
  3. Step 3: Cross multiply
    683.34x = 1,024.62 × 375.12
  4. Step 4: Simplify right side
    683.34x = 384,348.46
  5. Step 5: Solve for x
    x = 384,348.46/683.34
  6. Step 6: Final answer
    x = 562.46

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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.