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Finding the Fourth Proportional to 1,013.23, 1,520.61 and 818.74

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Solution

The fourth proportional to 1,013.23, 1,520.61 and 818.74 is: 1,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.23 : 1,520.61 = 818.74 : x
  2. Step 2: Convert to fraction form
    1,013.23/1,520.61 = 818.74/x
  3. Step 3: Cross multiply
    1,013.23x = 1,520.61 × 818.74
  4. Step 4: Simplify right side
    1,013.23x = 1,244,984.23
  5. Step 5: Solve for x
    x = 1,244,984.23/1,013.23
  6. Step 6: Final answer
    x = 1,228.73

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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.