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Finding the Fourth Proportional to 1,126.80, 1,556.10 and 942.30

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Solution

The fourth proportional to 1,126.80, 1,556.10 and 942.30 is: 1,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.80 : 1,556.10 = 942.30 : x
  2. Step 2: Convert to fraction form
    1,126.80/1,556.10 = 942.30/x
  3. Step 3: Cross multiply
    1,126.80x = 1,556.10 × 942.30
  4. Step 4: Simplify right side
    1,126.80x = 1,466,313.03
  5. Step 5: Solve for x
    x = 1,466,313.03/1,126.80
  6. Step 6: Final answer
    x = 1,301.31

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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.