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Finding the Fourth Proportional to 1,169.53, 1,754.30 and 511.27

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Solution

The fourth proportional to 1,169.53, 1,754.30 and 511.27 is: 766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.53 : 1,754.30 = 511.27 : x
  2. Step 2: Convert to fraction form
    1,169.53/1,754.30 = 511.27/x
  3. Step 3: Cross multiply
    1,169.53x = 1,754.30 × 511.27
  4. Step 4: Simplify right side
    1,169.53x = 896,914.02
  5. Step 5: Solve for x
    x = 896,914.02/1,169.53
  6. Step 6: Final answer
    x = 766.90

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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.