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Finding the Fourth Proportional to 941.82, 1,412.93 and 667.23

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Solution

The fourth proportional to 941.82, 1,412.93 and 667.23 is: 1,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.82 : 1,412.93 = 667.23 : x
  2. Step 2: Convert to fraction form
    941.82/1,412.93 = 667.23/x
  3. Step 3: Cross multiply
    941.82x = 1,412.93 × 667.23
  4. Step 4: Simplify right side
    941.82x = 942,749.28
  5. Step 5: Solve for x
    x = 942,749.28/941.82
  6. Step 6: Final answer
    x = 1,000.99

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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.