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Finding the Fourth Proportional to 1,313.63, 1,968.51 and 727.93

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Solution

The fourth proportional to 1,313.63, 1,968.51 and 727.93 is: 1,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.63 : 1,968.51 = 727.93 : x
  2. Step 2: Convert to fraction form
    1,313.63/1,968.51 = 727.93/x
  3. Step 3: Cross multiply
    1,313.63x = 1,968.51 × 727.93
  4. Step 4: Simplify right side
    1,313.63x = 1,432,932.56
  5. Step 5: Solve for x
    x = 1,432,932.56/1,313.63
  6. Step 6: Final answer
    x = 1,090.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.