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Finding the Fourth Proportional to 1,252.26, 1,728.01 and 692.72

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Solution

The fourth proportional to 1,252.26, 1,728.01 and 692.72 is: 955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.26 : 1,728.01 = 692.72 : x
  2. Step 2: Convert to fraction form
    1,252.26/1,728.01 = 692.72/x
  3. Step 3: Cross multiply
    1,252.26x = 1,728.01 × 692.72
  4. Step 4: Simplify right side
    1,252.26x = 1,197,027.09
  5. Step 5: Solve for x
    x = 1,197,027.09/1,252.26
  6. Step 6: Final answer
    x = 955.89

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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.