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Finding the Fourth Proportional to 1,620.30, 2,431.45 and 646.30

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Solution

The fourth proportional to 1,620.30, 2,431.45 and 646.30 is: 969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.30 : 2,431.45 = 646.30 : x
  2. Step 2: Convert to fraction form
    1,620.30/2,431.45 = 646.30/x
  3. Step 3: Cross multiply
    1,620.30x = 2,431.45 × 646.30
  4. Step 4: Simplify right side
    1,620.30x = 1,571,446.14
  5. Step 5: Solve for x
    x = 1,571,446.14/1,620.30
  6. Step 6: Final answer
    x = 969.85

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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.