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Finding the Fourth Proportional to 725.16, 1,000.67 and 410.45

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Solution

The fourth proportional to 725.16, 1,000.67 and 410.45 is: 566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.16 : 1,000.67 = 410.45 : x
  2. Step 2: Convert to fraction form
    725.16/1,000.67 = 410.45/x
  3. Step 3: Cross multiply
    725.16x = 1,000.67 × 410.45
  4. Step 4: Simplify right side
    725.16x = 410,717.95
  5. Step 5: Solve for x
    x = 410,717.95/725.16
  6. Step 6: Final answer
    x = 566.38

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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.