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Finding the Fourth Proportional to 942.45, 1,300.48 and 872.79

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Solution

The fourth proportional to 942.45, 1,300.48 and 872.79 is: 1,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.45 : 1,300.48 = 872.79 : x
  2. Step 2: Convert to fraction form
    942.45/1,300.48 = 872.79/x
  3. Step 3: Cross multiply
    942.45x = 1,300.48 × 872.79
  4. Step 4: Simplify right side
    942.45x = 1,135,045.94
  5. Step 5: Solve for x
    x = 1,135,045.94/942.45
  6. Step 6: Final answer
    x = 1,204.36

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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.