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Finding the Fourth Proportional to 795.88, 1,097.76 and 769.12

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Solution

The fourth proportional to 795.88, 1,097.76 and 769.12 is: 1,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.88 : 1,097.76 = 769.12 : x
  2. Step 2: Convert to fraction form
    795.88/1,097.76 = 769.12/x
  3. Step 3: Cross multiply
    795.88x = 1,097.76 × 769.12
  4. Step 4: Simplify right side
    795.88x = 844,309.17
  5. Step 5: Solve for x
    x = 844,309.17/795.88
  6. Step 6: Final answer
    x = 1,060.85

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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.