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Finding the Fourth Proportional to 804.54, 1,109.94 and 455.16

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Solution

The fourth proportional to 804.54, 1,109.94 and 455.16 is: 627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.54 : 1,109.94 = 455.16 : x
  2. Step 2: Convert to fraction form
    804.54/1,109.94 = 455.16/x
  3. Step 3: Cross multiply
    804.54x = 1,109.94 × 455.16
  4. Step 4: Simplify right side
    804.54x = 505,200.29
  5. Step 5: Solve for x
    x = 505,200.29/804.54
  6. Step 6: Final answer
    x = 627.94

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