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Finding the Fourth Proportional to 725.37, 1,087.65 and 256.60

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Solution

The fourth proportional to 725.37, 1,087.65 and 256.60 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.37 : 1,087.65 = 256.60 : x
  2. Step 2: Convert to fraction form
    725.37/1,087.65 = 256.60/x
  3. Step 3: Cross multiply
    725.37x = 1,087.65 × 256.60
  4. Step 4: Simplify right side
    725.37x = 279,090.99
  5. Step 5: Solve for x
    x = 279,090.99/725.37
  6. Step 6: Final answer
    x = 384.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.