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Finding the Fourth Proportional to 941.67, 1,409.22 and 571.26

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Solution

The fourth proportional to 941.67, 1,409.22 and 571.26 is: 854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.67 : 1,409.22 = 571.26 : x
  2. Step 2: Convert to fraction form
    941.67/1,409.22 = 571.26/x
  3. Step 3: Cross multiply
    941.67x = 1,409.22 × 571.26
  4. Step 4: Simplify right side
    941.67x = 805,031.02
  5. Step 5: Solve for x
    x = 805,031.02/941.67
  6. Step 6: Final answer
    x = 854.90

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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.