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Finding the Fourth Proportional to 1,024.13, 1,410.04 and 893.09

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Solution

The fourth proportional to 1,024.13, 1,410.04 and 893.09 is: 1,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.13 : 1,410.04 = 893.09 : x
  2. Step 2: Convert to fraction form
    1,024.13/1,410.04 = 893.09/x
  3. Step 3: Cross multiply
    1,024.13x = 1,410.04 × 893.09
  4. Step 4: Simplify right side
    1,024.13x = 1,259,297.27
  5. Step 5: Solve for x
    x = 1,259,297.27/1,024.13
  6. Step 6: Final answer
    x = 1,229.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.