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Finding the Fourth Proportional to 941.22, 1,410.95 and 454.01

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Solution

The fourth proportional to 941.22, 1,410.95 and 454.01 is: 680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.22 : 1,410.95 = 454.01 : x
  2. Step 2: Convert to fraction form
    941.22/1,410.95 = 454.01/x
  3. Step 3: Cross multiply
    941.22x = 1,410.95 × 454.01
  4. Step 4: Simplify right side
    941.22x = 640,579.49
  5. Step 5: Solve for x
    x = 640,579.49/941.22
  6. Step 6: Final answer
    x = 680.58

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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.