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Finding the Fourth Proportional to 1,243.04, 1,865.42 and 512.61

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Solution

The fourth proportional to 1,243.04, 1,865.42 and 512.61 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.04 : 1,865.42 = 512.61 : x
  2. Step 2: Convert to fraction form
    1,243.04/1,865.42 = 512.61/x
  3. Step 3: Cross multiply
    1,243.04x = 1,865.42 × 512.61
  4. Step 4: Simplify right side
    1,243.04x = 956,235.05
  5. Step 5: Solve for x
    x = 956,235.05/1,243.04
  6. Step 6: Final answer
    x = 769.27

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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.