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Finding the Fourth Proportional to 759.46, 1,138.92 and 466.94

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Solution

The fourth proportional to 759.46, 1,138.92 and 466.94 is: 700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.46 : 1,138.92 = 466.94 : x
  2. Step 2: Convert to fraction form
    759.46/1,138.92 = 466.94/x
  3. Step 3: Cross multiply
    759.46x = 1,138.92 × 466.94
  4. Step 4: Simplify right side
    759.46x = 531,807.30
  5. Step 5: Solve for x
    x = 531,807.30/759.46
  6. Step 6: Final answer
    x = 700.24

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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.