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Finding the Fourth Proportional to 1,433.58, 1,978.32 and 804.26

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Solution

The fourth proportional to 1,433.58, 1,978.32 and 804.26 is: 1,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.58 : 1,978.32 = 804.26 : x
  2. Step 2: Convert to fraction form
    1,433.58/1,978.32 = 804.26/x
  3. Step 3: Cross multiply
    1,433.58x = 1,978.32 × 804.26
  4. Step 4: Simplify right side
    1,433.58x = 1,591,084.57
  5. Step 5: Solve for x
    x = 1,591,084.57/1,433.58
  6. Step 6: Final answer
    x = 1,109.87

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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.