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Finding the Fourth Proportional to 692.82, 1,040.58 and 509.49

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Solution

The fourth proportional to 692.82, 1,040.58 and 509.49 is: 765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.82 : 1,040.58 = 509.49 : x
  2. Step 2: Convert to fraction form
    692.82/1,040.58 = 509.49/x
  3. Step 3: Cross multiply
    692.82x = 1,040.58 × 509.49
  4. Step 4: Simplify right side
    692.82x = 530,165.10
  5. Step 5: Solve for x
    x = 530,165.10/692.82
  6. Step 6: Final answer
    x = 765.23

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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.