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Finding the Fourth Proportional to 804.96, 1,112.84 and 544.32

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Solution

The fourth proportional to 804.96, 1,112.84 and 544.32 is: 752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.96 : 1,112.84 = 544.32 : x
  2. Step 2: Convert to fraction form
    804.96/1,112.84 = 544.32/x
  3. Step 3: Cross multiply
    804.96x = 1,112.84 × 544.32
  4. Step 4: Simplify right side
    804.96x = 605,741.07
  5. Step 5: Solve for x
    x = 605,741.07/804.96
  6. Step 6: Final answer
    x = 752.51

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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.