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Finding the Fourth Proportional to 794.93, 1,096.69 and 496

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Solution

The fourth proportional to 794.93, 1,096.69 and 496 is: 684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.93 : 1,096.69 = 496 : x
  2. Step 2: Convert to fraction form
    794.93/1,096.69 = 496/x
  3. Step 3: Cross multiply
    794.93x = 1,096.69 × 496
  4. Step 4: Simplify right side
    794.93x = 543,955.76
  5. Step 5: Solve for x
    x = 543,955.76/794.93
  6. Step 6: Final answer
    x = 684.29

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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.