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Finding the Fourth Proportional to 976.33, 1,463.47 and 668.10

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Solution

The fourth proportional to 976.33, 1,463.47 and 668.10 is: 1,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.33 : 1,463.47 = 668.10 : x
  2. Step 2: Convert to fraction form
    976.33/1,463.47 = 668.10/x
  3. Step 3: Cross multiply
    976.33x = 1,463.47 × 668.10
  4. Step 4: Simplify right side
    976.33x = 977,740.97
  5. Step 5: Solve for x
    x = 977,740.97/976.33
  6. Step 6: Final answer
    x = 1,001.45

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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.