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Finding the Fourth Proportional to 1,553.33, 2,328.99 and 823.25

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Solution

The fourth proportional to 1,553.33, 2,328.99 and 823.25 is: 1,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.33 : 2,328.99 = 823.25 : x
  2. Step 2: Convert to fraction form
    1,553.33/2,328.99 = 823.25/x
  3. Step 3: Cross multiply
    1,553.33x = 2,328.99 × 823.25
  4. Step 4: Simplify right side
    1,553.33x = 1,917,341.02
  5. Step 5: Solve for x
    x = 1,917,341.02/1,553.33
  6. Step 6: Final answer
    x = 1,234.34

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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.