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Finding the Fourth Proportional to 725.08, 1,090.14 and 581.80

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Solution

The fourth proportional to 725.08, 1,090.14 and 581.80 is: 874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.08 : 1,090.14 = 581.80 : x
  2. Step 2: Convert to fraction form
    725.08/1,090.14 = 581.80/x
  3. Step 3: Cross multiply
    725.08x = 1,090.14 × 581.80
  4. Step 4: Simplify right side
    725.08x = 634,243.45
  5. Step 5: Solve for x
    x = 634,243.45/725.08
  6. Step 6: Final answer
    x = 874.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.