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Finding the Fourth Proportional to 941.18, 1,410.96 and 454.57

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Solution

The fourth proportional to 941.18, 1,410.96 and 454.57 is: 681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.18 : 1,410.96 = 454.57 : x
  2. Step 2: Convert to fraction form
    941.18/1,410.96 = 454.57/x
  3. Step 3: Cross multiply
    941.18x = 1,410.96 × 454.57
  4. Step 4: Simplify right side
    941.18x = 641,380.09
  5. Step 5: Solve for x
    x = 641,380.09/941.18
  6. Step 6: Final answer
    x = 681.46

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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.