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Finding the Fourth Proportional to 692.19, 955.29 and 517.23

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Solution

The fourth proportional to 692.19, 955.29 and 517.23 is: 713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.19 : 955.29 = 517.23 : x
  2. Step 2: Convert to fraction form
    692.19/955.29 = 517.23/x
  3. Step 3: Cross multiply
    692.19x = 955.29 × 517.23
  4. Step 4: Simplify right side
    692.19x = 494,097.28
  5. Step 5: Solve for x
    x = 494,097.28/692.19
  6. Step 6: Final answer
    x = 713.82

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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.