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Finding the Fourth Proportional to 1,047.73, 1,446.08 and 605.57

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Solution

The fourth proportional to 1,047.73, 1,446.08 and 605.57 is: 835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.73 : 1,446.08 = 605.57 : x
  2. Step 2: Convert to fraction form
    1,047.73/1,446.08 = 605.57/x
  3. Step 3: Cross multiply
    1,047.73x = 1,446.08 × 605.57
  4. Step 4: Simplify right side
    1,047.73x = 875,699.64
  5. Step 5: Solve for x
    x = 875,699.64/1,047.73
  6. Step 6: Final answer
    x = 835.81

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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.