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Finding the Fourth Proportional to 1,034.73, 1,426.28 and 720.45

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Solution

The fourth proportional to 1,034.73, 1,426.28 and 720.45 is: 993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.73 : 1,426.28 = 720.45 : x
  2. Step 2: Convert to fraction form
    1,034.73/1,426.28 = 720.45/x
  3. Step 3: Cross multiply
    1,034.73x = 1,426.28 × 720.45
  4. Step 4: Simplify right side
    1,034.73x = 1,027,559.82
  5. Step 5: Solve for x
    x = 1,027,559.82/1,034.73
  6. Step 6: Final answer
    x = 993.07

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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.