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Finding the Fourth Proportional to 1,313.48, 1,812.92 and 754.25

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Solution

The fourth proportional to 1,313.48, 1,812.92 and 754.25 is: 1,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.48 : 1,812.92 = 754.25 : x
  2. Step 2: Convert to fraction form
    1,313.48/1,812.92 = 754.25/x
  3. Step 3: Cross multiply
    1,313.48x = 1,812.92 × 754.25
  4. Step 4: Simplify right side
    1,313.48x = 1,367,382.07
  5. Step 5: Solve for x
    x = 1,367,382.07/1,313.48
  6. Step 6: Final answer
    x = 1,041.04

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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.