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Finding the Fourth Proportional to 692.06, 955.12 and 517.10

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Solution

The fourth proportional to 692.06, 955.12 and 517.10 is: 713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.06 : 955.12 = 517.10 : x
  2. Step 2: Convert to fraction form
    692.06/955.12 = 517.10/x
  3. Step 3: Cross multiply
    692.06x = 955.12 × 517.10
  4. Step 4: Simplify right side
    692.06x = 493,892.55
  5. Step 5: Solve for x
    x = 493,892.55/692.06
  6. Step 6: Final answer
    x = 713.66

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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.