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Finding the Fourth Proportional to 1,243.28, 1,864.24 and 463.25

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Solution

The fourth proportional to 1,243.28, 1,864.24 and 463.25 is: 694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.28 : 1,864.24 = 463.25 : x
  2. Step 2: Convert to fraction form
    1,243.28/1,864.24 = 463.25/x
  3. Step 3: Cross multiply
    1,243.28x = 1,864.24 × 463.25
  4. Step 4: Simplify right side
    1,243.28x = 863,597.54
  5. Step 5: Solve for x
    x = 863,597.54/1,243.28
  6. Step 6: Final answer
    x = 694.62

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Why These Related Problems?

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