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Finding the Fourth Proportional to 1,214.86, 1,676.33 and 683.77

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Solution

The fourth proportional to 1,214.86, 1,676.33 and 683.77 is: 943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.86 : 1,676.33 = 683.77 : x
  2. Step 2: Convert to fraction form
    1,214.86/1,676.33 = 683.77/x
  3. Step 3: Cross multiply
    1,214.86x = 1,676.33 × 683.77
  4. Step 4: Simplify right side
    1,214.86x = 1,146,217.49
  5. Step 5: Solve for x
    x = 1,146,217.49/1,214.86
  6. Step 6: Final answer
    x = 943.50

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Why These Related Problems?

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