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Finding the Fourth Proportional to 711.27, 975.76 and 692.08

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Solution

The fourth proportional to 711.27, 975.76 and 692.08 is: 949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.27 : 975.76 = 692.08 : x
  2. Step 2: Convert to fraction form
    711.27/975.76 = 692.08/x
  3. Step 3: Cross multiply
    711.27x = 975.76 × 692.08
  4. Step 4: Simplify right side
    711.27x = 675,299.81
  5. Step 5: Solve for x
    x = 675,299.81/711.27
  6. Step 6: Final answer
    x = 949.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.