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Finding the Fourth Proportional to 941.55, 1,410.93 and 454.02

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Solution

The fourth proportional to 941.55, 1,410.93 and 454.02 is: 680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.55 : 1,410.93 = 454.02 : x
  2. Step 2: Convert to fraction form
    941.55/1,410.93 = 454.02/x
  3. Step 3: Cross multiply
    941.55x = 1,410.93 × 454.02
  4. Step 4: Simplify right side
    941.55x = 640,590.44
  5. Step 5: Solve for x
    x = 640,590.44/941.55
  6. Step 6: Final answer
    x = 680.36

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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.