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Finding the Fourth Proportional to 911.23, 1,258.55 and 663.66

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Solution

The fourth proportional to 911.23, 1,258.55 and 663.66 is: 916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.23 : 1,258.55 = 663.66 : x
  2. Step 2: Convert to fraction form
    911.23/1,258.55 = 663.66/x
  3. Step 3: Cross multiply
    911.23x = 1,258.55 × 663.66
  4. Step 4: Simplify right side
    911.23x = 835,249.29
  5. Step 5: Solve for x
    x = 835,249.29/911.23
  6. Step 6: Final answer
    x = 916.62

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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.