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Finding the Fourth Proportional to 942.09, 1,412.62 and 748.34

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Solution

The fourth proportional to 942.09, 1,412.62 and 748.34 is: 1,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.09 : 1,412.62 = 748.34 : x
  2. Step 2: Convert to fraction form
    942.09/1,412.62 = 748.34/x
  3. Step 3: Cross multiply
    942.09x = 1,412.62 × 748.34
  4. Step 4: Simplify right side
    942.09x = 1,057,120.05
  5. Step 5: Solve for x
    x = 1,057,120.05/942.09
  6. Step 6: Final answer
    x = 1,122.10

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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.