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Finding the Fourth Proportional to 1,071.80, 1,608.32 and 422.60

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Solution

The fourth proportional to 1,071.80, 1,608.32 and 422.60 is: 634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.80 : 1,608.32 = 422.60 : x
  2. Step 2: Convert to fraction form
    1,071.80/1,608.32 = 422.60/x
  3. Step 3: Cross multiply
    1,071.80x = 1,608.32 × 422.60
  4. Step 4: Simplify right side
    1,071.80x = 679,676.03
  5. Step 5: Solve for x
    x = 679,676.03/1,071.80
  6. Step 6: Final answer
    x = 634.14

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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.