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Finding the Fourth Proportional to 1,111.40, 1,664.70 and 722.60

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Solution

The fourth proportional to 1,111.40, 1,664.70 and 722.60 is: 1,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.40 : 1,664.70 = 722.60 : x
  2. Step 2: Convert to fraction form
    1,111.40/1,664.70 = 722.60/x
  3. Step 3: Cross multiply
    1,111.40x = 1,664.70 × 722.60
  4. Step 4: Simplify right side
    1,111.40x = 1,202,912.22
  5. Step 5: Solve for x
    x = 1,202,912.22/1,111.40
  6. Step 6: Final answer
    x = 1,082.34

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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.