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Finding the Fourth Proportional to 945.89, 1,418.82 and 513.89

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Solution

The fourth proportional to 945.89, 1,418.82 and 513.89 is: 770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.89 : 1,418.82 = 513.89 : x
  2. Step 2: Convert to fraction form
    945.89/1,418.82 = 513.89/x
  3. Step 3: Cross multiply
    945.89x = 1,418.82 × 513.89
  4. Step 4: Simplify right side
    945.89x = 729,110.32
  5. Step 5: Solve for x
    x = 729,110.32/945.89
  6. Step 6: Final answer
    x = 770.82

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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.