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Finding the Fourth Proportional to 1,553.25, 2,330.03 and 513.25

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Solution

The fourth proportional to 1,553.25, 2,330.03 and 513.25 is: 769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.25 : 2,330.03 = 513.25 : x
  2. Step 2: Convert to fraction form
    1,553.25/2,330.03 = 513.25/x
  3. Step 3: Cross multiply
    1,553.25x = 2,330.03 × 513.25
  4. Step 4: Simplify right side
    1,553.25x = 1,195,887.90
  5. Step 5: Solve for x
    x = 1,195,887.90/1,553.25
  6. Step 6: Final answer
    x = 769.93

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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.