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Finding the Fourth Proportional to 1,400.28, 2,100.67 and 706.97

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Solution

The fourth proportional to 1,400.28, 2,100.67 and 706.97 is: 1,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.28 : 2,100.67 = 706.97 : x
  2. Step 2: Convert to fraction form
    1,400.28/2,100.67 = 706.97/x
  3. Step 3: Cross multiply
    1,400.28x = 2,100.67 × 706.97
  4. Step 4: Simplify right side
    1,400.28x = 1,485,096.63
  5. Step 5: Solve for x
    x = 1,485,096.63/1,400.28
  6. Step 6: Final answer
    x = 1,060.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.