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Finding the Fourth Proportional to 976.54, 1,348.50 and 908.50

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Solution

The fourth proportional to 976.54, 1,348.50 and 908.50 is: 1,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.54 : 1,348.50 = 908.50 : x
  2. Step 2: Convert to fraction form
    976.54/1,348.50 = 908.50/x
  3. Step 3: Cross multiply
    976.54x = 1,348.50 × 908.50
  4. Step 4: Simplify right side
    976.54x = 1,225,112.25
  5. Step 5: Solve for x
    x = 1,225,112.25/976.54
  6. Step 6: Final answer
    x = 1,254.54

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