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Finding the Fourth Proportional to 1,162.46, 1,744.32 and 771.50

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Solution

The fourth proportional to 1,162.46, 1,744.32 and 771.50 is: 1,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.46 : 1,744.32 = 771.50 : x
  2. Step 2: Convert to fraction form
    1,162.46/1,744.32 = 771.50/x
  3. Step 3: Cross multiply
    1,162.46x = 1,744.32 × 771.50
  4. Step 4: Simplify right side
    1,162.46x = 1,345,742.88
  5. Step 5: Solve for x
    x = 1,345,742.88/1,162.46
  6. Step 6: Final answer
    x = 1,157.67

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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.