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Finding the Fourth Proportional to 911.67, 1,257.57 and 561.75

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Solution

The fourth proportional to 911.67, 1,257.57 and 561.75 is: 774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.67 : 1,257.57 = 561.75 : x
  2. Step 2: Convert to fraction form
    911.67/1,257.57 = 561.75/x
  3. Step 3: Cross multiply
    911.67x = 1,257.57 × 561.75
  4. Step 4: Simplify right side
    911.67x = 706,439.95
  5. Step 5: Solve for x
    x = 706,439.95/911.67
  6. Step 6: Final answer
    x = 774.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.