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Finding the Fourth Proportional to 692.91, 1,037.57 and 384.12

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Solution

The fourth proportional to 692.91, 1,037.57 and 384.12 is: 575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.91 : 1,037.57 = 384.12 : x
  2. Step 2: Convert to fraction form
    692.91/1,037.57 = 384.12/x
  3. Step 3: Cross multiply
    692.91x = 1,037.57 × 384.12
  4. Step 4: Simplify right side
    692.91x = 398,549.47
  5. Step 5: Solve for x
    x = 398,549.47/692.91
  6. Step 6: Final answer
    x = 575.18

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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.