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Finding the Fourth Proportional to 942.88, 1,415.55 and 827.45

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Solution

The fourth proportional to 942.88, 1,415.55 and 827.45 is: 1,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.88 : 1,415.55 = 827.45 : x
  2. Step 2: Convert to fraction form
    942.88/1,415.55 = 827.45/x
  3. Step 3: Cross multiply
    942.88x = 1,415.55 × 827.45
  4. Step 4: Simplify right side
    942.88x = 1,171,296.85
  5. Step 5: Solve for x
    x = 1,171,296.85/942.88
  6. Step 6: Final answer
    x = 1,242.26

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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.