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Finding the Fourth Proportional to 725.31, 1,000.59 and 430.41

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Solution

The fourth proportional to 725.31, 1,000.59 and 430.41 is: 593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.31 : 1,000.59 = 430.41 : x
  2. Step 2: Convert to fraction form
    725.31/1,000.59 = 430.41/x
  3. Step 3: Cross multiply
    725.31x = 1,000.59 × 430.41
  4. Step 4: Simplify right side
    725.31x = 430,663.94
  5. Step 5: Solve for x
    x = 430,663.94/725.31
  6. Step 6: Final answer
    x = 593.77

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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.