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Finding the Fourth Proportional to 1,234.55, 1,853.10 and 826.54

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Solution

The fourth proportional to 1,234.55, 1,853.10 and 826.54 is: 1,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.55 : 1,853.10 = 826.54 : x
  2. Step 2: Convert to fraction form
    1,234.55/1,853.10 = 826.54/x
  3. Step 3: Cross multiply
    1,234.55x = 1,853.10 × 826.54
  4. Step 4: Simplify right side
    1,234.55x = 1,531,661.27
  5. Step 5: Solve for x
    x = 1,531,661.27/1,234.55
  6. Step 6: Final answer
    x = 1,240.66

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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.