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Finding the Fourth Proportional to 1,398.14, 1,929.39 and 768.67

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Solution

The fourth proportional to 1,398.14, 1,929.39 and 768.67 is: 1,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.14 : 1,929.39 = 768.67 : x
  2. Step 2: Convert to fraction form
    1,398.14/1,929.39 = 768.67/x
  3. Step 3: Cross multiply
    1,398.14x = 1,929.39 × 768.67
  4. Step 4: Simplify right side
    1,398.14x = 1,483,059.39
  5. Step 5: Solve for x
    x = 1,483,059.39/1,398.14
  6. Step 6: Final answer
    x = 1,060.74

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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.