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Finding the Fourth Proportional to 725.62, 1,088.20 and 465.25

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Solution

The fourth proportional to 725.62, 1,088.20 and 465.25 is: 697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.62 : 1,088.20 = 465.25 : x
  2. Step 2: Convert to fraction form
    725.62/1,088.20 = 465.25/x
  3. Step 3: Cross multiply
    725.62x = 1,088.20 × 465.25
  4. Step 4: Simplify right side
    725.62x = 506,285.05
  5. Step 5: Solve for x
    x = 506,285.05/725.62
  6. Step 6: Final answer
    x = 697.73

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