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Finding the Fourth Proportional to 1,433.73, 1,978.45 and 804.15

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Solution

The fourth proportional to 1,433.73, 1,978.45 and 804.15 is: 1,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.73 : 1,978.45 = 804.15 : x
  2. Step 2: Convert to fraction form
    1,433.73/1,978.45 = 804.15/x
  3. Step 3: Cross multiply
    1,433.73x = 1,978.45 × 804.15
  4. Step 4: Simplify right side
    1,433.73x = 1,590,968.56
  5. Step 5: Solve for x
    x = 1,590,968.56/1,433.73
  6. Step 6: Final answer
    x = 1,109.67

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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.