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Finding the Fourth Proportional to 1,412.78, 2,119.85 and 864.66

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Solution

The fourth proportional to 1,412.78, 2,119.85 and 864.66 is: 1,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.78 : 2,119.85 = 864.66 : x
  2. Step 2: Convert to fraction form
    1,412.78/2,119.85 = 864.66/x
  3. Step 3: Cross multiply
    1,412.78x = 2,119.85 × 864.66
  4. Step 4: Simplify right side
    1,412.78x = 1,832,949.50
  5. Step 5: Solve for x
    x = 1,832,949.50/1,412.78
  6. Step 6: Final answer
    x = 1,297.41

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Why These Related Problems?

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