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Finding the Fourth Proportional to 733.92, 1,091.44 and 710.86

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Solution

The fourth proportional to 733.92, 1,091.44 and 710.86 is: 1,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.92 : 1,091.44 = 710.86 : x
  2. Step 2: Convert to fraction form
    733.92/1,091.44 = 710.86/x
  3. Step 3: Cross multiply
    733.92x = 1,091.44 × 710.86
  4. Step 4: Simplify right side
    733.92x = 775,861.04
  5. Step 5: Solve for x
    x = 775,861.04/733.92
  6. Step 6: Final answer
    x = 1,057.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.