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Finding the Fourth Proportional to 941.42, 1,410.90 and 454.20

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Solution

The fourth proportional to 941.42, 1,410.90 and 454.20 is: 680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.42 : 1,410.90 = 454.20 : x
  2. Step 2: Convert to fraction form
    941.42/1,410.90 = 454.20/x
  3. Step 3: Cross multiply
    941.42x = 1,410.90 × 454.20
  4. Step 4: Simplify right side
    941.42x = 640,830.78
  5. Step 5: Solve for x
    x = 640,830.78/941.42
  6. Step 6: Final answer
    x = 680.71

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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.