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Finding the Fourth Proportional to 1,160.46, 1,741.32 and 769.50

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Solution

The fourth proportional to 1,160.46, 1,741.32 and 769.50 is: 1,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.46 : 1,741.32 = 769.50 : x
  2. Step 2: Convert to fraction form
    1,160.46/1,741.32 = 769.50/x
  3. Step 3: Cross multiply
    1,160.46x = 1,741.32 × 769.50
  4. Step 4: Simplify right side
    1,160.46x = 1,339,945.74
  5. Step 5: Solve for x
    x = 1,339,945.74/1,160.46
  6. Step 6: Final answer
    x = 1,154.67

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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.