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Finding the Fourth Proportional to 1,358.69, 1,874.96 and 769.21

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Solution

The fourth proportional to 1,358.69, 1,874.96 and 769.21 is: 1,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.69 : 1,874.96 = 769.21 : x
  2. Step 2: Convert to fraction form
    1,358.69/1,874.96 = 769.21/x
  3. Step 3: Cross multiply
    1,358.69x = 1,874.96 × 769.21
  4. Step 4: Simplify right side
    1,358.69x = 1,442,229.45
  5. Step 5: Solve for x
    x = 1,442,229.45/1,358.69
  6. Step 6: Final answer
    x = 1,061.49

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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.