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Finding the Fourth Proportional to 941.78, 1,299.74 and 548.93

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Solution

The fourth proportional to 941.78, 1,299.74 and 548.93 is: 757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.78 : 1,299.74 = 548.93 : x
  2. Step 2: Convert to fraction form
    941.78/1,299.74 = 548.93/x
  3. Step 3: Cross multiply
    941.78x = 1,299.74 × 548.93
  4. Step 4: Simplify right side
    941.78x = 713,466.28
  5. Step 5: Solve for x
    x = 713,466.28/941.78
  6. Step 6: Final answer
    x = 757.57

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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.