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Finding the Fourth Proportional to 839.02, 1,257.30 and 596.02

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Solution

The fourth proportional to 839.02, 1,257.30 and 596.02 is: 893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.02 : 1,257.30 = 596.02 : x
  2. Step 2: Convert to fraction form
    839.02/1,257.30 = 596.02/x
  3. Step 3: Cross multiply
    839.02x = 1,257.30 × 596.02
  4. Step 4: Simplify right side
    839.02x = 749,375.95
  5. Step 5: Solve for x
    x = 749,375.95/839.02
  6. Step 6: Final answer
    x = 893.16

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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.