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Finding the Fourth Proportional to 911.25, 1,257.53 and 561.94

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Solution

The fourth proportional to 911.25, 1,257.53 and 561.94 is: 775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.25 : 1,257.53 = 561.94 : x
  2. Step 2: Convert to fraction form
    911.25/1,257.53 = 561.94/x
  3. Step 3: Cross multiply
    911.25x = 1,257.53 × 561.94
  4. Step 4: Simplify right side
    911.25x = 706,650.45
  5. Step 5: Solve for x
    x = 706,650.45/911.25
  6. Step 6: Final answer
    x = 775.47

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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.