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Finding the Fourth Proportional to 839.16, 1,257.12 and 596.16

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Solution

The fourth proportional to 839.16, 1,257.12 and 596.16 is: 893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.16 : 1,257.12 = 596.16 : x
  2. Step 2: Convert to fraction form
    839.16/1,257.12 = 596.16/x
  3. Step 3: Cross multiply
    839.16x = 1,257.12 × 596.16
  4. Step 4: Simplify right side
    839.16x = 749,444.66
  5. Step 5: Solve for x
    x = 749,444.66/839.16
  6. Step 6: Final answer
    x = 893.09

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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.