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Finding the Fourth Proportional to 1,553.85, 2,331.99 and 580.23

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Solution

The fourth proportional to 1,553.85, 2,331.99 and 580.23 is: 870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.85 : 2,331.99 = 580.23 : x
  2. Step 2: Convert to fraction form
    1,553.85/2,331.99 = 580.23/x
  3. Step 3: Cross multiply
    1,553.85x = 2,331.99 × 580.23
  4. Step 4: Simplify right side
    1,553.85x = 1,353,090.56
  5. Step 5: Solve for x
    x = 1,353,090.56/1,553.85
  6. Step 6: Final answer
    x = 870.80

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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.