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Finding the Fourth Proportional to 851.59, 1,176.81 and 725.54

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Solution

The fourth proportional to 851.59, 1,176.81 and 725.54 is: 1,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.59 : 1,176.81 = 725.54 : x
  2. Step 2: Convert to fraction form
    851.59/1,176.81 = 725.54/x
  3. Step 3: Cross multiply
    851.59x = 1,176.81 × 725.54
  4. Step 4: Simplify right side
    851.59x = 853,813.22
  5. Step 5: Solve for x
    x = 853,813.22/851.59
  6. Step 6: Final answer
    x = 1,002.61

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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.