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Finding the Fourth Proportional to 804.41, 1,109.96 and 455.09

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Solution

The fourth proportional to 804.41, 1,109.96 and 455.09 is: 627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.41 : 1,109.96 = 455.09 : x
  2. Step 2: Convert to fraction form
    804.41/1,109.96 = 455.09/x
  3. Step 3: Cross multiply
    804.41x = 1,109.96 × 455.09
  4. Step 4: Simplify right side
    804.41x = 505,129.42
  5. Step 5: Solve for x
    x = 505,129.42/804.41
  6. Step 6: Final answer
    x = 627.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.