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Finding the Fourth Proportional to 1,398.67, 1,930.22 and 769.23

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Solution

The fourth proportional to 1,398.67, 1,930.22 and 769.23 is: 1,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.67 : 1,930.22 = 769.23 : x
  2. Step 2: Convert to fraction form
    1,398.67/1,930.22 = 769.23/x
  3. Step 3: Cross multiply
    1,398.67x = 1,930.22 × 769.23
  4. Step 4: Simplify right side
    1,398.67x = 1,484,783.13
  5. Step 5: Solve for x
    x = 1,484,783.13/1,398.67
  6. Step 6: Final answer
    x = 1,061.57

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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.