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Finding the Fourth Proportional to 1,243.43, 1,865.62 and 512.83

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Solution

The fourth proportional to 1,243.43, 1,865.62 and 512.83 is: 769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.43 : 1,865.62 = 512.83 : x
  2. Step 2: Convert to fraction form
    1,243.43/1,865.62 = 512.83/x
  3. Step 3: Cross multiply
    1,243.43x = 1,865.62 × 512.83
  4. Step 4: Simplify right side
    1,243.43x = 956,750.32
  5. Step 5: Solve for x
    x = 956,750.32/1,243.43
  6. Step 6: Final answer
    x = 769.45

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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.