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Finding the Fourth Proportional to 1,290.16, 1,929.75 and 768.97

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Solution

The fourth proportional to 1,290.16, 1,929.75 and 768.97 is: 1,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.16 : 1,929.75 = 768.97 : x
  2. Step 2: Convert to fraction form
    1,290.16/1,929.75 = 768.97/x
  3. Step 3: Cross multiply
    1,290.16x = 1,929.75 × 768.97
  4. Step 4: Simplify right side
    1,290.16x = 1,483,919.86
  5. Step 5: Solve for x
    x = 1,483,919.86/1,290.16
  6. Step 6: Final answer
    x = 1,150.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.