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Finding the Fourth Proportional to 725.57, 1,001.30 and 427.00

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Solution

The fourth proportional to 725.57, 1,001.30 and 427.00 is: 589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.57 : 1,001.30 = 427.00 : x
  2. Step 2: Convert to fraction form
    725.57/1,001.30 = 427.00/x
  3. Step 3: Cross multiply
    725.57x = 1,001.30 × 427.00
  4. Step 4: Simplify right side
    725.57x = 427,550.46
  5. Step 5: Solve for x
    x = 427,550.46/725.57
  6. Step 6: Final answer
    x = 589.26

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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.