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Finding the Fourth Proportional to 692.84, 1,040.48 and 406.08

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Solution

The fourth proportional to 692.84, 1,040.48 and 406.08 is: 609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.84 : 1,040.48 = 406.08 : x
  2. Step 2: Convert to fraction form
    692.84/1,040.48 = 406.08/x
  3. Step 3: Cross multiply
    692.84x = 1,040.48 × 406.08
  4. Step 4: Simplify right side
    692.84x = 422,518.12
  5. Step 5: Solve for x
    x = 422,518.12/692.84
  6. Step 6: Final answer
    x = 609.84

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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.