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Finding the Fourth Proportional to 692.08, 1,037.14 and 384.07

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Solution

The fourth proportional to 692.08, 1,037.14 and 384.07 is: 575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.08 : 1,037.14 = 384.07 : x
  2. Step 2: Convert to fraction form
    692.08/1,037.14 = 384.07/x
  3. Step 3: Cross multiply
    692.08x = 1,037.14 × 384.07
  4. Step 4: Simplify right side
    692.08x = 398,334.36
  5. Step 5: Solve for x
    x = 398,334.36/692.08
  6. Step 6: Final answer
    x = 575.56

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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.