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Finding the Fourth Proportional to 1,594.75, 2,393.13 and 620.86

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Solution

The fourth proportional to 1,594.75, 2,393.13 and 620.86 is: 931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.75 : 2,393.13 = 620.86 : x
  2. Step 2: Convert to fraction form
    1,594.75/2,393.13 = 620.86/x
  3. Step 3: Cross multiply
    1,594.75x = 2,393.13 × 620.86
  4. Step 4: Simplify right side
    1,594.75x = 1,485,786.73
  5. Step 5: Solve for x
    x = 1,485,786.73/1,594.75
  6. Step 6: Final answer
    x = 931.68

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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.