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Finding the Fourth Proportional to 1,243.23, 1,864.24 and 463.00

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Solution

The fourth proportional to 1,243.23, 1,864.24 and 463.00 is: 694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.23 : 1,864.24 = 463.00 : x
  2. Step 2: Convert to fraction form
    1,243.23/1,864.24 = 463.00/x
  3. Step 3: Cross multiply
    1,243.23x = 1,864.24 × 463.00
  4. Step 4: Simplify right side
    1,243.23x = 863,137.30
  5. Step 5: Solve for x
    x = 863,137.30/1,243.23
  6. Step 6: Final answer
    x = 694.27

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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.