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Finding the Fourth Proportional to 1,433.53, 1,978.32 and 804.05

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Solution

The fourth proportional to 1,433.53, 1,978.32 and 804.05 is: 1,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.53 : 1,978.32 = 804.05 : x
  2. Step 2: Convert to fraction form
    1,433.53/1,978.32 = 804.05/x
  3. Step 3: Cross multiply
    1,433.53x = 1,978.32 × 804.05
  4. Step 4: Simplify right side
    1,433.53x = 1,590,668.20
  5. Step 5: Solve for x
    x = 1,590,668.20/1,433.53
  6. Step 6: Final answer
    x = 1,109.62

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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.