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Finding the Fourth Proportional to 975.09, 1,463.04 and 513.03

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Solution

The fourth proportional to 975.09, 1,463.04 and 513.03 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.09 : 1,463.04 = 513.03 : x
  2. Step 2: Convert to fraction form
    975.09/1,463.04 = 513.03/x
  3. Step 3: Cross multiply
    975.09x = 1,463.04 × 513.03
  4. Step 4: Simplify right side
    975.09x = 750,583.41
  5. Step 5: Solve for x
    x = 750,583.41/975.09
  6. Step 6: Final answer
    x = 769.76

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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.