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Finding the Fourth Proportional to 729.08, 1,094.53 and 725.75

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Solution

The fourth proportional to 729.08, 1,094.53 and 725.75 is: 1,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.08 : 1,094.53 = 725.75 : x
  2. Step 2: Convert to fraction form
    729.08/1,094.53 = 725.75/x
  3. Step 3: Cross multiply
    729.08x = 1,094.53 × 725.75
  4. Step 4: Simplify right side
    729.08x = 794,355.15
  5. Step 5: Solve for x
    x = 794,355.15/729.08
  6. Step 6: Final answer
    x = 1,089.53

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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.