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Finding the Fourth Proportional to 725.34, 1,086.64 and 359.70

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Solution

The fourth proportional to 725.34, 1,086.64 and 359.70 is: 538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.34 : 1,086.64 = 359.70 : x
  2. Step 2: Convert to fraction form
    725.34/1,086.64 = 359.70/x
  3. Step 3: Cross multiply
    725.34x = 1,086.64 × 359.70
  4. Step 4: Simplify right side
    725.34x = 390,864.41
  5. Step 5: Solve for x
    x = 390,864.41/725.34
  6. Step 6: Final answer
    x = 538.87

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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.