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Finding the Fourth Proportional to 794.69, 1,096.76 and 499.95

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Solution

The fourth proportional to 794.69, 1,096.76 and 499.95 is: 689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.69 : 1,096.76 = 499.95 : x
  2. Step 2: Convert to fraction form
    794.69/1,096.76 = 499.95/x
  3. Step 3: Cross multiply
    794.69x = 1,096.76 × 499.95
  4. Step 4: Simplify right side
    794.69x = 548,322.30
  5. Step 5: Solve for x
    x = 548,322.30/794.69
  6. Step 6: Final answer
    x = 689.99

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