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Finding the Fourth Proportional to 1,129.27, 1,694.52 and 512.93

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Solution

The fourth proportional to 1,129.27, 1,694.52 and 512.93 is: 769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.27 : 1,694.52 = 512.93 : x
  2. Step 2: Convert to fraction form
    1,129.27/1,694.52 = 512.93/x
  3. Step 3: Cross multiply
    1,129.27x = 1,694.52 × 512.93
  4. Step 4: Simplify right side
    1,129.27x = 869,170.14
  5. Step 5: Solve for x
    x = 869,170.14/1,129.27
  6. Step 6: Final answer
    x = 769.67

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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.