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Finding the Fourth Proportional to 976.89, 1,347.94 and 927.64

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Solution

The fourth proportional to 976.89, 1,347.94 and 927.64 is: 1,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.89 : 1,347.94 = 927.64 : x
  2. Step 2: Convert to fraction form
    976.89/1,347.94 = 927.64/x
  3. Step 3: Cross multiply
    976.89x = 1,347.94 × 927.64
  4. Step 4: Simplify right side
    976.89x = 1,250,403.06
  5. Step 5: Solve for x
    x = 1,250,403.06/976.89
  6. Step 6: Final answer
    x = 1,279.98

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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.