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Finding the Fourth Proportional to 955.20, 1,431.36 and 467.64

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Solution

The fourth proportional to 955.20, 1,431.36 and 467.64 is: 700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.20 : 1,431.36 = 467.64 : x
  2. Step 2: Convert to fraction form
    955.20/1,431.36 = 467.64/x
  3. Step 3: Cross multiply
    955.20x = 1,431.36 × 467.64
  4. Step 4: Simplify right side
    955.20x = 669,361.19
  5. Step 5: Solve for x
    x = 669,361.19/955.20
  6. Step 6: Final answer
    x = 700.76

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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.