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Finding the Fourth Proportional to 725.15, 1,000.74 and 410.39

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Solution

The fourth proportional to 725.15, 1,000.74 and 410.39 is: 566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.15 : 1,000.74 = 410.39 : x
  2. Step 2: Convert to fraction form
    725.15/1,000.74 = 410.39/x
  3. Step 3: Cross multiply
    725.15x = 1,000.74 × 410.39
  4. Step 4: Simplify right side
    725.15x = 410,697.30
  5. Step 5: Solve for x
    x = 410,697.30/725.15
  6. Step 6: Final answer
    x = 566.36

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1.5x scale

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.