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Finding the Fourth Proportional to 833.74, 1,250.67 and 257.02

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Solution

The fourth proportional to 833.74, 1,250.67 and 257.02 is: 385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.74 : 1,250.67 = 257.02 : x
  2. Step 2: Convert to fraction form
    833.74/1,250.67 = 257.02/x
  3. Step 3: Cross multiply
    833.74x = 1,250.67 × 257.02
  4. Step 4: Simplify right side
    833.74x = 321,447.20
  5. Step 5: Solve for x
    x = 321,447.20/833.74
  6. Step 6: Final answer
    x = 385.55

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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.