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Finding the Fourth Proportional to 839.00, 1,256.87 and 549.56

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Solution

The fourth proportional to 839.00, 1,256.87 and 549.56 is: 823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.00 : 1,256.87 = 549.56 : x
  2. Step 2: Convert to fraction form
    839.00/1,256.87 = 549.56/x
  3. Step 3: Cross multiply
    839.00x = 1,256.87 × 549.56
  4. Step 4: Simplify right side
    839.00x = 690,727.25
  5. Step 5: Solve for x
    x = 690,727.25/839.00
  6. Step 6: Final answer
    x = 823.27

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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.