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Finding the Fourth Proportional to 1,553.23, 2,328.24 and 512.27

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Solution

The fourth proportional to 1,553.23, 2,328.24 and 512.27 is: 767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.23 : 2,328.24 = 512.27 : x
  2. Step 2: Convert to fraction form
    1,553.23/2,328.24 = 512.27/x
  3. Step 3: Cross multiply
    1,553.23x = 2,328.24 × 512.27
  4. Step 4: Simplify right side
    1,553.23x = 1,192,699.61
  5. Step 5: Solve for x
    x = 1,192,699.61/1,553.23
  6. Step 6: Final answer
    x = 767.89

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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.