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Finding the Fourth Proportional to 1,468.04, 2,025.94 and 804.88

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Solution

The fourth proportional to 1,468.04, 2,025.94 and 804.88 is: 1,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.04 : 2,025.94 = 804.88 : x
  2. Step 2: Convert to fraction form
    1,468.04/2,025.94 = 804.88/x
  3. Step 3: Cross multiply
    1,468.04x = 2,025.94 × 804.88
  4. Step 4: Simplify right side
    1,468.04x = 1,630,638.59
  5. Step 5: Solve for x
    x = 1,630,638.59/1,468.04
  6. Step 6: Final answer
    x = 1,110.76

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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.