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Finding the Fourth Proportional to 976.83, 1,348.32 and 696.63

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Solution

The fourth proportional to 976.83, 1,348.32 and 696.63 is: 961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.83 : 1,348.32 = 696.63 : x
  2. Step 2: Convert to fraction form
    976.83/1,348.32 = 696.63/x
  3. Step 3: Cross multiply
    976.83x = 1,348.32 × 696.63
  4. Step 4: Simplify right side
    976.83x = 939,274.49
  5. Step 5: Solve for x
    x = 939,274.49/976.83
  6. Step 6: Final answer
    x = 961.55

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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.