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Finding the Fourth Proportional to 1,553.04, 2,329.31 and 513

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Solution

The fourth proportional to 1,553.04, 2,329.31 and 513 is: 769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.04 : 2,329.31 = 513 : x
  2. Step 2: Convert to fraction form
    1,553.04/2,329.31 = 513/x
  3. Step 3: Cross multiply
    1,553.04x = 2,329.31 × 513
  4. Step 4: Simplify right side
    1,553.04x = 1,194,933.47
  5. Step 5: Solve for x
    x = 1,194,933.47/1,553.04
  6. Step 6: Final answer
    x = 769.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.