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Finding the Fourth Proportional to 692.58, 1,037.97 and 384.42

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Solution

The fourth proportional to 692.58, 1,037.97 and 384.42 is: 576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.58 : 1,037.97 = 384.42 : x
  2. Step 2: Convert to fraction form
    692.58/1,037.97 = 384.42/x
  3. Step 3: Cross multiply
    692.58x = 1,037.97 × 384.42
  4. Step 4: Simplify right side
    692.58x = 399,016.43
  5. Step 5: Solve for x
    x = 399,016.43/692.58
  6. Step 6: Final answer
    x = 576.13

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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.