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Finding the Fourth Proportional to 942.44, 1,415.48 and 942.44

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Solution

The fourth proportional to 942.44, 1,415.48 and 942.44 is: 1,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.44 : 1,415.48 = 942.44 : x
  2. Step 2: Convert to fraction form
    942.44/1,415.48 = 942.44/x
  3. Step 3: Cross multiply
    942.44x = 1,415.48 × 942.44
  4. Step 4: Simplify right side
    942.44x = 1,333,993.18
  5. Step 5: Solve for x
    x = 1,333,993.18/942.44
  6. Step 6: Final answer
    x = 1,415.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.