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Finding the Fourth Proportional to 795.94, 1,097.88 and 769.21

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Solution

The fourth proportional to 795.94, 1,097.88 and 769.21 is: 1,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.94 : 1,097.88 = 769.21 : x
  2. Step 2: Convert to fraction form
    795.94/1,097.88 = 769.21/x
  3. Step 3: Cross multiply
    795.94x = 1,097.88 × 769.21
  4. Step 4: Simplify right side
    795.94x = 844,500.27
  5. Step 5: Solve for x
    x = 844,500.27/795.94
  6. Step 6: Final answer
    x = 1,061.01

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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.