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Finding the Fourth Proportional to 692.34, 1,035.87 and 384.43

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Solution

The fourth proportional to 692.34, 1,035.87 and 384.43 is: 575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.34 : 1,035.87 = 384.43 : x
  2. Step 2: Convert to fraction form
    692.34/1,035.87 = 384.43/x
  3. Step 3: Cross multiply
    692.34x = 1,035.87 × 384.43
  4. Step 4: Simplify right side
    692.34x = 398,219.50
  5. Step 5: Solve for x
    x = 398,219.50/692.34
  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.