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Finding the Fourth Proportional to 1,359.43, 1,876.23 and 769.84

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Solution

The fourth proportional to 1,359.43, 1,876.23 and 769.84 is: 1,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.43 : 1,876.23 = 769.84 : x
  2. Step 2: Convert to fraction form
    1,359.43/1,876.23 = 769.84/x
  3. Step 3: Cross multiply
    1,359.43x = 1,876.23 × 769.84
  4. Step 4: Simplify right side
    1,359.43x = 1,444,392.21
  5. Step 5: Solve for x
    x = 1,444,392.21/1,359.43
  6. Step 6: Final answer
    x = 1,062.50

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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.