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Finding the Fourth Proportional to 941.01, 1,409.91 and 665.75

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Solution

The fourth proportional to 941.01, 1,409.91 and 665.75 is: 997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.01 : 1,409.91 = 665.75 : x
  2. Step 2: Convert to fraction form
    941.01/1,409.91 = 665.75/x
  3. Step 3: Cross multiply
    941.01x = 1,409.91 × 665.75
  4. Step 4: Simplify right side
    941.01x = 938,647.58
  5. Step 5: Solve for x
    x = 938,647.58/941.01
  6. Step 6: Final answer
    x = 997.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.