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Finding the Fourth Proportional to 683.17, 1,024.82 and 390.81

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Solution

The fourth proportional to 683.17, 1,024.82 and 390.81 is: 586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.17 : 1,024.82 = 390.81 : x
  2. Step 2: Convert to fraction form
    683.17/1,024.82 = 390.81/x
  3. Step 3: Cross multiply
    683.17x = 1,024.82 × 390.81
  4. Step 4: Simplify right side
    683.17x = 400,509.90
  5. Step 5: Solve for x
    x = 400,509.90/683.17
  6. Step 6: Final answer
    x = 586.25

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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.