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Finding the Fourth Proportional to 725.02, 1,000.47 and 410.20

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Solution

The fourth proportional to 725.02, 1,000.47 and 410.20 is: 566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.02 : 1,000.47 = 410.20 : x
  2. Step 2: Convert to fraction form
    725.02/1,000.47 = 410.20/x
  3. Step 3: Cross multiply
    725.02x = 1,000.47 × 410.20
  4. Step 4: Simplify right side
    725.02x = 410,392.79
  5. Step 5: Solve for x
    x = 410,392.79/725.02
  6. Step 6: Final answer
    x = 566.04

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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.