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Finding the Fourth Proportional to 692.95, 1,031.73 and 683.26

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Solution

The fourth proportional to 692.95, 1,031.73 and 683.26 is: 1,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.95 : 1,031.73 = 683.26 : x
  2. Step 2: Convert to fraction form
    692.95/1,031.73 = 683.26/x
  3. Step 3: Cross multiply
    692.95x = 1,031.73 × 683.26
  4. Step 4: Simplify right side
    692.95x = 704,939.84
  5. Step 5: Solve for x
    x = 704,939.84/692.95
  6. Step 6: Final answer
    x = 1,017.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.