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Finding the Fourth Proportional to 950.49, 1,425.74 and 692.14

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Solution

The fourth proportional to 950.49, 1,425.74 and 692.14 is: 1,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.49 : 1,425.74 = 692.14 : x
  2. Step 2: Convert to fraction form
    950.49/1,425.74 = 692.14/x
  3. Step 3: Cross multiply
    950.49x = 1,425.74 × 692.14
  4. Step 4: Simplify right side
    950.49x = 986,806.45
  5. Step 5: Solve for x
    x = 986,806.45/950.49
  6. Step 6: Final answer
    x = 1,038.21

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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.