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Finding the Fourth Proportional to 759.42, 1,137.80 and 466.85

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Solution

The fourth proportional to 759.42, 1,137.80 and 466.85 is: 699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.42 : 1,137.80 = 466.85 : x
  2. Step 2: Convert to fraction form
    759.42/1,137.80 = 466.85/x
  3. Step 3: Cross multiply
    759.42x = 1,137.80 × 466.85
  4. Step 4: Simplify right side
    759.42x = 531,181.93
  5. Step 5: Solve for x
    x = 531,181.93/759.42
  6. Step 6: Final answer
    x = 699.46

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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.