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Finding the Fourth Proportional to 837.54, 1,256.31 and 564.17

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Solution

The fourth proportional to 837.54, 1,256.31 and 564.17 is: 846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.54 : 1,256.31 = 564.17 : x
  2. Step 2: Convert to fraction form
    837.54/1,256.31 = 564.17/x
  3. Step 3: Cross multiply
    837.54x = 1,256.31 × 564.17
  4. Step 4: Simplify right side
    837.54x = 708,766.13
  5. Step 5: Solve for x
    x = 708,766.13/837.54
  6. Step 6: Final answer
    x = 846.25

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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.