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Finding the Fourth Proportional to 692.44, 956.04 and 527.51

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Solution

The fourth proportional to 692.44, 956.04 and 527.51 is: 728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.44 : 956.04 = 527.51 : x
  2. Step 2: Convert to fraction form
    692.44/956.04 = 527.51/x
  3. Step 3: Cross multiply
    692.44x = 956.04 × 527.51
  4. Step 4: Simplify right side
    692.44x = 504,313.24
  5. Step 5: Solve for x
    x = 504,313.24/692.44
  6. Step 6: Final answer
    x = 728.31

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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.