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Finding the Fourth Proportional to 725.15, 1,088.45 and 400.67

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Solution

The fourth proportional to 725.15, 1,088.45 and 400.67 is: 601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.15 : 1,088.45 = 400.67 : x
  2. Step 2: Convert to fraction form
    725.15/1,088.45 = 400.67/x
  3. Step 3: Cross multiply
    725.15x = 1,088.45 × 400.67
  4. Step 4: Simplify right side
    725.15x = 436,109.26
  5. Step 5: Solve for x
    x = 436,109.26/725.15
  6. Step 6: Final answer
    x = 601.41

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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.