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Finding the Fourth Proportional to 1,213.03, 1,820.48 and 861.61

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Solution

The fourth proportional to 1,213.03, 1,820.48 and 861.61 is: 1,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.03 : 1,820.48 = 861.61 : x
  2. Step 2: Convert to fraction form
    1,213.03/1,820.48 = 861.61/x
  3. Step 3: Cross multiply
    1,213.03x = 1,820.48 × 861.61
  4. Step 4: Simplify right side
    1,213.03x = 1,568,543.77
  5. Step 5: Solve for x
    x = 1,568,543.77/1,213.03
  6. Step 6: Final answer
    x = 1,293.08

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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.