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Finding the Fourth Proportional to 834.02, 1,250.99 and 256.90

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Solution

The fourth proportional to 834.02, 1,250.99 and 256.90 is: 385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.02 : 1,250.99 = 256.90 : x
  2. Step 2: Convert to fraction form
    834.02/1,250.99 = 256.90/x
  3. Step 3: Cross multiply
    834.02x = 1,250.99 × 256.90
  4. Step 4: Simplify right side
    834.02x = 321,373.08
  5. Step 5: Solve for x
    x = 321,373.08/834.02
  6. Step 6: Final answer
    x = 385.33

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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.