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Finding the Fourth Proportional to 933.44, 1,287.96 and 540.56

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Solution

The fourth proportional to 933.44, 1,287.96 and 540.56 is: 745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.44 : 1,287.96 = 540.56 : x
  2. Step 2: Convert to fraction form
    933.44/1,287.96 = 540.56/x
  3. Step 3: Cross multiply
    933.44x = 1,287.96 × 540.56
  4. Step 4: Simplify right side
    933.44x = 696,219.66
  5. Step 5: Solve for x
    x = 696,219.66/933.44
  6. Step 6: Final answer
    x = 745.86

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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.