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Finding the Fourth Proportional to 1,433.93, 1,978.70 and 804.37

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Solution

The fourth proportional to 1,433.93, 1,978.70 and 804.37 is: 1,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.93 : 1,978.70 = 804.37 : x
  2. Step 2: Convert to fraction form
    1,433.93/1,978.70 = 804.37/x
  3. Step 3: Cross multiply
    1,433.93x = 1,978.70 × 804.37
  4. Step 4: Simplify right side
    1,433.93x = 1,591,597.03
  5. Step 5: Solve for x
    x = 1,591,597.03/1,433.93
  6. Step 6: Final answer
    x = 1,109.96

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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.