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Finding the Fourth Proportional to 692.83, 956.37 and 471.88

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Solution

The fourth proportional to 692.83, 956.37 and 471.88 is: 651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.83 : 956.37 = 471.88 : x
  2. Step 2: Convert to fraction form
    692.83/956.37 = 471.88/x
  3. Step 3: Cross multiply
    692.83x = 956.37 × 471.88
  4. Step 4: Simplify right side
    692.83x = 451,291.88
  5. Step 5: Solve for x
    x = 451,291.88/692.83
  6. Step 6: Final answer
    x = 651.37

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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.