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Finding the Fourth Proportional to 911.80, 1,258.05 and 552.70

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Solution

The fourth proportional to 911.80, 1,258.05 and 552.70 is: 762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.80 : 1,258.05 = 552.70 : x
  2. Step 2: Convert to fraction form
    911.80/1,258.05 = 552.70/x
  3. Step 3: Cross multiply
    911.80x = 1,258.05 × 552.70
  4. Step 4: Simplify right side
    911.80x = 695,324.24
  5. Step 5: Solve for x
    x = 695,324.24/911.80
  6. Step 6: Final answer
    x = 762.58

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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.