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Finding the Fourth Proportional to 697.28, 960 and 625.76

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Solution

The fourth proportional to 697.28, 960 and 625.76 is: 861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.28 : 960 = 625.76 : x
  2. Step 2: Convert to fraction form
    697.28/960 = 625.76/x
  3. Step 3: Cross multiply
    697.28x = 960 × 625.76
  4. Step 4: Simplify right side
    697.28x = 600,729.60
  5. Step 5: Solve for x
    x = 600,729.60/697.28
  6. Step 6: Final answer
    x = 861.53

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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.