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Finding the Fourth Proportional to 722.87, 1,084.32 and 513.77

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Solution

The fourth proportional to 722.87, 1,084.32 and 513.77 is: 770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.87 : 1,084.32 = 513.77 : x
  2. Step 2: Convert to fraction form
    722.87/1,084.32 = 513.77/x
  3. Step 3: Cross multiply
    722.87x = 1,084.32 × 513.77
  4. Step 4: Simplify right side
    722.87x = 557,091.09
  5. Step 5: Solve for x
    x = 557,091.09/722.87
  6. Step 6: Final answer
    x = 770.67

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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.