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Finding the Fourth Proportional to 804.05, 1,109.58 and 454.72

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Solution

The fourth proportional to 804.05, 1,109.58 and 454.72 is: 627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.05 : 1,109.58 = 454.72 : x
  2. Step 2: Convert to fraction form
    804.05/1,109.58 = 454.72/x
  3. Step 3: Cross multiply
    804.05x = 1,109.58 × 454.72
  4. Step 4: Simplify right side
    804.05x = 504,542.67
  5. Step 5: Solve for x
    x = 504,542.67/804.05
  6. Step 6: Final answer
    x = 627.50

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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.