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Finding the Fourth Proportional to 1,224.68, 1,832.33 and 704.93

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Solution

The fourth proportional to 1,224.68, 1,832.33 and 704.93 is: 1,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.68 : 1,832.33 = 704.93 : x
  2. Step 2: Convert to fraction form
    1,224.68/1,832.33 = 704.93/x
  3. Step 3: Cross multiply
    1,224.68x = 1,832.33 × 704.93
  4. Step 4: Simplify right side
    1,224.68x = 1,291,651.70
  5. Step 5: Solve for x
    x = 1,291,651.70/1,224.68
  6. Step 6: Final answer
    x = 1,054.69

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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.