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Finding the Fourth Proportional to 792.32, 1,091.68 and 755.46

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Solution

The fourth proportional to 792.32, 1,091.68 and 755.46 is: 1,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.32 : 1,091.68 = 755.46 : x
  2. Step 2: Convert to fraction form
    792.32/1,091.68 = 755.46/x
  3. Step 3: Cross multiply
    792.32x = 1,091.68 × 755.46
  4. Step 4: Simplify right side
    792.32x = 824,718.68
  5. Step 5: Solve for x
    x = 824,718.68/792.32
  6. Step 6: Final answer
    x = 1,040.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.