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Finding the Fourth Proportional to 692.82, 1,038.24 and 400.32

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Solution

The fourth proportional to 692.82, 1,038.24 and 400.32 is: 599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.82 : 1,038.24 = 400.32 : x
  2. Step 2: Convert to fraction form
    692.82/1,038.24 = 400.32/x
  3. Step 3: Cross multiply
    692.82x = 1,038.24 × 400.32
  4. Step 4: Simplify right side
    692.82x = 415,628.24
  5. Step 5: Solve for x
    x = 415,628.24/692.82
  6. Step 6: Final answer
    x = 599.91

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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.