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Finding the Fourth Proportional to 838.13, 1,257.19 and 564.75

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Solution

The fourth proportional to 838.13, 1,257.19 and 564.75 is: 847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.13 : 1,257.19 = 564.75 : x
  2. Step 2: Convert to fraction form
    838.13/1,257.19 = 564.75/x
  3. Step 3: Cross multiply
    838.13x = 1,257.19 × 564.75
  4. Step 4: Simplify right side
    838.13x = 709,998.05
  5. Step 5: Solve for x
    x = 709,998.05/838.13
  6. Step 6: Final answer
    x = 847.12

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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.