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Finding the Fourth Proportional to 967.40, 1,452.46 and 505.56

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Solution

The fourth proportional to 967.40, 1,452.46 and 505.56 is: 759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.40 : 1,452.46 = 505.56 : x
  2. Step 2: Convert to fraction form
    967.40/1,452.46 = 505.56/x
  3. Step 3: Cross multiply
    967.40x = 1,452.46 × 505.56
  4. Step 4: Simplify right side
    967.40x = 734,305.68
  5. Step 5: Solve for x
    x = 734,305.68/967.40
  6. Step 6: Final answer
    x = 759.05

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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.