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Finding the Fourth Proportional to 1,171.98, 1,757.54 and 523.16

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Solution

The fourth proportional to 1,171.98, 1,757.54 and 523.16 is: 784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.98 : 1,757.54 = 523.16 : x
  2. Step 2: Convert to fraction form
    1,171.98/1,757.54 = 523.16/x
  3. Step 3: Cross multiply
    1,171.98x = 1,757.54 × 523.16
  4. Step 4: Simplify right side
    1,171.98x = 919,474.63
  5. Step 5: Solve for x
    x = 919,474.63/1,171.98
  6. Step 6: Final answer
    x = 784.55

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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.