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Finding the Fourth Proportional to 804.09, 1,109.15 and 583.29

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Solution

The fourth proportional to 804.09, 1,109.15 and 583.29 is: 804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.09 : 1,109.15 = 583.29 : x
  2. Step 2: Convert to fraction form
    804.09/1,109.15 = 583.29/x
  3. Step 3: Cross multiply
    804.09x = 1,109.15 × 583.29
  4. Step 4: Simplify right side
    804.09x = 646,953.19
  5. Step 5: Solve for x
    x = 646,953.19/804.09
  6. Step 6: Final answer
    x = 804.58

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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.