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Finding the Fourth Proportional to 1,097.43, 1,643.67 and 769.83

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Solution

The fourth proportional to 1,097.43, 1,643.67 and 769.83 is: 1,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.43 : 1,643.67 = 769.83 : x
  2. Step 2: Convert to fraction form
    1,097.43/1,643.67 = 769.83/x
  3. Step 3: Cross multiply
    1,097.43x = 1,643.67 × 769.83
  4. Step 4: Simplify right side
    1,097.43x = 1,265,346.48
  5. Step 5: Solve for x
    x = 1,265,346.48/1,097.43
  6. Step 6: Final answer
    x = 1,153.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.