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Finding the Fourth Proportional to 692.94, 1,038.68 and 327.96

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Solution

The fourth proportional to 692.94, 1,038.68 and 327.96 is: 491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.94 : 1,038.68 = 327.96 : x
  2. Step 2: Convert to fraction form
    692.94/1,038.68 = 327.96/x
  3. Step 3: Cross multiply
    692.94x = 1,038.68 × 327.96
  4. Step 4: Simplify right side
    692.94x = 340,645.49
  5. Step 5: Solve for x
    x = 340,645.49/692.94
  6. Step 6: Final answer
    x = 491.59

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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.