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Finding the Fourth Proportional to 975.11, 1,463.26 and 513.22

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Solution

The fourth proportional to 975.11, 1,463.26 and 513.22 is: 770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.11 : 1,463.26 = 513.22 : x
  2. Step 2: Convert to fraction form
    975.11/1,463.26 = 513.22/x
  3. Step 3: Cross multiply
    975.11x = 1,463.26 × 513.22
  4. Step 4: Simplify right side
    975.11x = 750,964.41
  5. Step 5: Solve for x
    x = 750,964.41/975.11
  6. Step 6: Final answer
    x = 770.14

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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.