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Finding the Fourth Proportional to 1,245.92, 1,871.76 and 733.28

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Solution

The fourth proportional to 1,245.92, 1,871.76 and 733.28 is: 1,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.92 : 1,871.76 = 733.28 : x
  2. Step 2: Convert to fraction form
    1,245.92/1,871.76 = 733.28/x
  3. Step 3: Cross multiply
    1,245.92x = 1,871.76 × 733.28
  4. Step 4: Simplify right side
    1,245.92x = 1,372,524.17
  5. Step 5: Solve for x
    x = 1,372,524.17/1,245.92
  6. Step 6: Final answer
    x = 1,101.62

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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.