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Finding the Fourth Proportional to 1,468.09, 2,025.91 and 804.93

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Solution

The fourth proportional to 1,468.09, 2,025.91 and 804.93 is: 1,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.09 : 2,025.91 = 804.93 : x
  2. Step 2: Convert to fraction form
    1,468.09/2,025.91 = 804.93/x
  3. Step 3: Cross multiply
    1,468.09x = 2,025.91 × 804.93
  4. Step 4: Simplify right side
    1,468.09x = 1,630,715.74
  5. Step 5: Solve for x
    x = 1,630,715.74/1,468.09
  6. Step 6: Final answer
    x = 1,110.77

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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.