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Finding the Fourth Proportional to 1,207.85, 1,810.95 and 769.43

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Solution

The fourth proportional to 1,207.85, 1,810.95 and 769.43 is: 1,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.85 : 1,810.95 = 769.43 : x
  2. Step 2: Convert to fraction form
    1,207.85/1,810.95 = 769.43/x
  3. Step 3: Cross multiply
    1,207.85x = 1,810.95 × 769.43
  4. Step 4: Simplify right side
    1,207.85x = 1,393,399.26
  5. Step 5: Solve for x
    x = 1,393,399.26/1,207.85
  6. Step 6: Final answer
    x = 1,153.62

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