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Finding the Fourth Proportional to 692.00, 954.62 and 412.14

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Solution

The fourth proportional to 692.00, 954.62 and 412.14 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.00 : 954.62 = 412.14 : x
  2. Step 2: Convert to fraction form
    692.00/954.62 = 412.14/x
  3. Step 3: Cross multiply
    692.00x = 954.62 × 412.14
  4. Step 4: Simplify right side
    692.00x = 393,435.03
  5. Step 5: Solve for x
    x = 393,435.03/692.00
  6. Step 6: Final answer
    x = 568.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.