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Finding the Fourth Proportional to 1,087.92, 1,631.20 and 357.38

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Solution

The fourth proportional to 1,087.92, 1,631.20 and 357.38 is: 535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.92 : 1,631.20 = 357.38 : x
  2. Step 2: Convert to fraction form
    1,087.92/1,631.20 = 357.38/x
  3. Step 3: Cross multiply
    1,087.92x = 1,631.20 × 357.38
  4. Step 4: Simplify right side
    1,087.92x = 582,958.26
  5. Step 5: Solve for x
    x = 582,958.26/1,087.92
  6. Step 6: Final answer
    x = 535.85

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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.