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Finding the Fourth Proportional to 1,398.25, 1,929.59 and 768.79

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Solution

The fourth proportional to 1,398.25, 1,929.59 and 768.79 is: 1,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.25 : 1,929.59 = 768.79 : x
  2. Step 2: Convert to fraction form
    1,398.25/1,929.59 = 768.79/x
  3. Step 3: Cross multiply
    1,398.25x = 1,929.59 × 768.79
  4. Step 4: Simplify right side
    1,398.25x = 1,483,449.50
  5. Step 5: Solve for x
    x = 1,483,449.50/1,398.25
  6. Step 6: Final answer
    x = 1,060.93

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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.