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Finding the Fourth Proportional to 864.86, 1,297.30 and 683.22

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Solution

The fourth proportional to 864.86, 1,297.30 and 683.22 is: 1,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.86 : 1,297.30 = 683.22 : x
  2. Step 2: Convert to fraction form
    864.86/1,297.30 = 683.22/x
  3. Step 3: Cross multiply
    864.86x = 1,297.30 × 683.22
  4. Step 4: Simplify right side
    864.86x = 886,341.31
  5. Step 5: Solve for x
    x = 886,341.31/864.86
  6. Step 6: Final answer
    x = 1,024.84

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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.