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Finding the Fourth Proportional to 683.86, 1,030.57 and 650.92

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Solution

The fourth proportional to 683.86, 1,030.57 and 650.92 is: 980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.86 : 1,030.57 = 650.92 : x
  2. Step 2: Convert to fraction form
    683.86/1,030.57 = 650.92/x
  3. Step 3: Cross multiply
    683.86x = 1,030.57 × 650.92
  4. Step 4: Simplify right side
    683.86x = 670,818.62
  5. Step 5: Solve for x
    x = 670,818.62/683.86
  6. Step 6: Final answer
    x = 980.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.