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Finding the Fourth Proportional to 1,249.03, 1,722.06 and 1,024.14

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Solution

The fourth proportional to 1,249.03, 1,722.06 and 1,024.14 is: 1,412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.03 : 1,722.06 = 1,024.14 : x
  2. Step 2: Convert to fraction form
    1,249.03/1,722.06 = 1,024.14/x
  3. Step 3: Cross multiply
    1,249.03x = 1,722.06 × 1,024.14
  4. Step 4: Simplify right side
    1,249.03x = 1,763,625.41
  5. Step 5: Solve for x
    x = 1,763,625.41/1,249.03
  6. Step 6: Final answer
    x = 1,412.00

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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.