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Finding the Fourth Proportional to 725.42, 1,000.84 and 410.66

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Solution

The fourth proportional to 725.42, 1,000.84 and 410.66 is: 566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.42 : 1,000.84 = 410.66 : x
  2. Step 2: Convert to fraction form
    725.42/1,000.84 = 410.66/x
  3. Step 3: Cross multiply
    725.42x = 1,000.84 × 410.66
  4. Step 4: Simplify right side
    725.42x = 410,999.95
  5. Step 5: Solve for x
    x = 410,999.95/725.42
  6. Step 6: Final answer
    x = 566.57

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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.