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Finding the Fourth Proportional to 1,301.44, 1,796.40 and 804.16

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Solution

The fourth proportional to 1,301.44, 1,796.40 and 804.16 is: 1,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.44 : 1,796.40 = 804.16 : x
  2. Step 2: Convert to fraction form
    1,301.44/1,796.40 = 804.16/x
  3. Step 3: Cross multiply
    1,301.44x = 1,796.40 × 804.16
  4. Step 4: Simplify right side
    1,301.44x = 1,444,593.02
  5. Step 5: Solve for x
    x = 1,444,593.02/1,301.44
  6. Step 6: Final answer
    x = 1,110.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.