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Finding the Fourth Proportional to 869.00, 1,304.23 and 814.27

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Solution

The fourth proportional to 869.00, 1,304.23 and 814.27 is: 1,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.00 : 1,304.23 = 814.27 : x
  2. Step 2: Convert to fraction form
    869.00/1,304.23 = 814.27/x
  3. Step 3: Cross multiply
    869.00x = 1,304.23 × 814.27
  4. Step 4: Simplify right side
    869.00x = 1,061,990.07
  5. Step 5: Solve for x
    x = 1,061,990.07/869.00
  6. Step 6: Final answer
    x = 1,222.08

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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.