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Finding the Fourth Proportional to 1,553.94, 2,331.95 and 824.04

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Solution

The fourth proportional to 1,553.94, 2,331.95 and 824.04 is: 1,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.94 : 2,331.95 = 824.04 : x
  2. Step 2: Convert to fraction form
    1,553.94/2,331.95 = 824.04/x
  3. Step 3: Cross multiply
    1,553.94x = 2,331.95 × 824.04
  4. Step 4: Simplify right side
    1,553.94x = 1,921,615.96
  5. Step 5: Solve for x
    x = 1,921,615.96/1,553.94
  6. Step 6: Final answer
    x = 1,236.61

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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.