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Finding the Fourth Proportional to 804.80, 1,109.84 and 525.28

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Solution

The fourth proportional to 804.80, 1,109.84 and 525.28 is: 724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.80 : 1,109.84 = 525.28 : x
  2. Step 2: Convert to fraction form
    804.80/1,109.84 = 525.28/x
  3. Step 3: Cross multiply
    804.80x = 1,109.84 × 525.28
  4. Step 4: Simplify right side
    804.80x = 582,973.32
  5. Step 5: Solve for x
    x = 582,973.32/804.80
  6. Step 6: Final answer
    x = 724.37

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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.