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Finding the Fourth Proportional to 1,314.73, 1,812.05 and 960.07

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Solution

The fourth proportional to 1,314.73, 1,812.05 and 960.07 is: 1,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.73 : 1,812.05 = 960.07 : x
  2. Step 2: Convert to fraction form
    1,314.73/1,812.05 = 960.07/x
  3. Step 3: Cross multiply
    1,314.73x = 1,812.05 × 960.07
  4. Step 4: Simplify right side
    1,314.73x = 1,739,685.51
  5. Step 5: Solve for x
    x = 1,739,685.51/1,314.73
  6. Step 6: Final answer
    x = 1,323.23

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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.