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Finding the Fourth Proportional to 946.49, 1,418.88 and 513.14

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Solution

The fourth proportional to 946.49, 1,418.88 and 513.14 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.49 : 1,418.88 = 513.14 : x
  2. Step 2: Convert to fraction form
    946.49/1,418.88 = 513.14/x
  3. Step 3: Cross multiply
    946.49x = 1,418.88 × 513.14
  4. Step 4: Simplify right side
    946.49x = 728,084.08
  5. Step 5: Solve for x
    x = 728,084.08/946.49
  6. Step 6: Final answer
    x = 769.25

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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.