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Finding the Fourth Proportional to 603.09, 903.88 and 513.99

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Solution

The fourth proportional to 603.09, 903.88 and 513.99 is: 770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.09 : 903.88 = 513.99 : x
  2. Step 2: Convert to fraction form
    603.09/903.88 = 513.99/x
  3. Step 3: Cross multiply
    603.09x = 903.88 × 513.99
  4. Step 4: Simplify right side
    603.09x = 464,583.03
  5. Step 5: Solve for x
    x = 464,583.03/603.09
  6. Step 6: Final answer
    x = 770.34

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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.