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Finding the Fourth Proportional to 1,328.93, 1,833.40 and 769.30

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Solution

The fourth proportional to 1,328.93, 1,833.40 and 769.30 is: 1,061.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.93 : 1,833.40 = 769.30 : x
  2. Step 2: Convert to fraction form
    1,328.93/1,833.40 = 769.30/x
  3. Step 3: Cross multiply
    1,328.93x = 1,833.40 × 769.30
  4. Step 4: Simplify right side
    1,328.93x = 1,410,434.62
  5. Step 5: Solve for x
    x = 1,410,434.62/1,328.93
  6. Step 6: Final answer
    x = 1,061.33

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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.