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Finding the Fourth Proportional to 1,035.20, 1,426.56 and 739.64

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Solution

The fourth proportional to 1,035.20, 1,426.56 and 739.64 is: 1,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.20 : 1,426.56 = 739.64 : x
  2. Step 2: Convert to fraction form
    1,035.20/1,426.56 = 739.64/x
  3. Step 3: Cross multiply
    1,035.20x = 1,426.56 × 739.64
  4. Step 4: Simplify right side
    1,035.20x = 1,055,140.84
  5. Step 5: Solve for x
    x = 1,055,140.84/1,035.20
  6. Step 6: Final answer
    x = 1,019.26

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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.