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Finding the Fourth Proportional to 1,520.74, 2,282.01 and 596.41

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Solution

The fourth proportional to 1,520.74, 2,282.01 and 596.41 is: 894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.74 : 2,282.01 = 596.41 : x
  2. Step 2: Convert to fraction form
    1,520.74/2,282.01 = 596.41/x
  3. Step 3: Cross multiply
    1,520.74x = 2,282.01 × 596.41
  4. Step 4: Simplify right side
    1,520.74x = 1,361,013.58
  5. Step 5: Solve for x
    x = 1,361,013.58/1,520.74
  6. Step 6: Final answer
    x = 894.97

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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.