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Finding the Fourth Proportional to 725.64, 1,001.74 and 504.20

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Solution

The fourth proportional to 725.64, 1,001.74 and 504.20 is: 696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.64 : 1,001.74 = 504.20 : x
  2. Step 2: Convert to fraction form
    725.64/1,001.74 = 504.20/x
  3. Step 3: Cross multiply
    725.64x = 1,001.74 × 504.20
  4. Step 4: Simplify right side
    725.64x = 505,077.31
  5. Step 5: Solve for x
    x = 505,077.31/725.64
  6. Step 6: Final answer
    x = 696.04

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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.