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Finding the Fourth Proportional to 683.04, 941.67 and 613.86

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Solution

The fourth proportional to 683.04, 941.67 and 613.86 is: 846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.04 : 941.67 = 613.86 : x
  2. Step 2: Convert to fraction form
    683.04/941.67 = 613.86/x
  3. Step 3: Cross multiply
    683.04x = 941.67 × 613.86
  4. Step 4: Simplify right side
    683.04x = 578,053.55
  5. Step 5: Solve for x
    x = 578,053.55/683.04
  6. Step 6: Final answer
    x = 846.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.