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Finding the Fourth Proportional to 941.40, 1,299.37 and 627.19

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Solution

The fourth proportional to 941.40, 1,299.37 and 627.19 is: 865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.40 : 1,299.37 = 627.19 : x
  2. Step 2: Convert to fraction form
    941.40/1,299.37 = 627.19/x
  3. Step 3: Cross multiply
    941.40x = 1,299.37 × 627.19
  4. Step 4: Simplify right side
    941.40x = 814,951.87
  5. Step 5: Solve for x
    x = 814,951.87/941.40
  6. Step 6: Final answer
    x = 865.68

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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.