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Finding the Fourth Proportional to 911.53, 1,256.91 and 690.07

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Solution

The fourth proportional to 911.53, 1,256.91 and 690.07 is: 951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.53 : 1,256.91 = 690.07 : x
  2. Step 2: Convert to fraction form
    911.53/1,256.91 = 690.07/x
  3. Step 3: Cross multiply
    911.53x = 1,256.91 × 690.07
  4. Step 4: Simplify right side
    911.53x = 867,355.88
  5. Step 5: Solve for x
    x = 867,355.88/911.53
  6. Step 6: Final answer
    x = 951.54

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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.