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Finding the Fourth Proportional to 1,464.43, 2,196.28 and 438.43

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Solution

The fourth proportional to 1,464.43, 2,196.28 and 438.43 is: 657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.43 : 2,196.28 = 438.43 : x
  2. Step 2: Convert to fraction form
    1,464.43/2,196.28 = 438.43/x
  3. Step 3: Cross multiply
    1,464.43x = 2,196.28 × 438.43
  4. Step 4: Simplify right side
    1,464.43x = 962,915.04
  5. Step 5: Solve for x
    x = 962,915.04/1,464.43
  6. Step 6: Final answer
    x = 657.54

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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.