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Finding the Fourth Proportional to 839.18, 1,256.38 and 564.73

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Solution

The fourth proportional to 839.18, 1,256.38 and 564.73 is: 845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.18 : 1,256.38 = 564.73 : x
  2. Step 2: Convert to fraction form
    839.18/1,256.38 = 564.73/x
  3. Step 3: Cross multiply
    839.18x = 1,256.38 × 564.73
  4. Step 4: Simplify right side
    839.18x = 709,510.92
  5. Step 5: Solve for x
    x = 709,510.92/839.18
  6. Step 6: Final answer
    x = 845.48

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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.