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Finding the Fourth Proportional to 911.89, 1,259.01 and 701.70

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Solution

The fourth proportional to 911.89, 1,259.01 and 701.70 is: 968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.89 : 1,259.01 = 701.70 : x
  2. Step 2: Convert to fraction form
    911.89/1,259.01 = 701.70/x
  3. Step 3: Cross multiply
    911.89x = 1,259.01 × 701.70
  4. Step 4: Simplify right side
    911.89x = 883,442.60
  5. Step 5: Solve for x
    x = 883,442.60/911.89
  6. Step 6: Final answer
    x = 968.80

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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.