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Finding the Fourth Proportional to 942.06, 1,407.14 and 796.26

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Solution

The fourth proportional to 942.06, 1,407.14 and 796.26 is: 1,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.06 : 1,407.14 = 796.26 : x
  2. Step 2: Convert to fraction form
    942.06/1,407.14 = 796.26/x
  3. Step 3: Cross multiply
    942.06x = 1,407.14 × 796.26
  4. Step 4: Simplify right side
    942.06x = 1,120,445.32
  5. Step 5: Solve for x
    x = 1,120,445.32/942.06
  6. Step 6: Final answer
    x = 1,189.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.