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Finding the Fourth Proportional to 1,398.20, 1,929.53 and 768.73

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Solution

The fourth proportional to 1,398.20, 1,929.53 and 768.73 is: 1,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.20 : 1,929.53 = 768.73 : x
  2. Step 2: Convert to fraction form
    1,398.20/1,929.53 = 768.73/x
  3. Step 3: Cross multiply
    1,398.20x = 1,929.53 × 768.73
  4. Step 4: Simplify right side
    1,398.20x = 1,483,284.13
  5. Step 5: Solve for x
    x = 1,483,284.13/1,398.20
  6. Step 6: Final answer
    x = 1,060.85

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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.