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Finding the Fourth Proportional to 837.08, 1,258.08 and 550.34

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Solution

The fourth proportional to 837.08, 1,258.08 and 550.34 is: 827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.08 : 1,258.08 = 550.34 : x
  2. Step 2: Convert to fraction form
    837.08/1,258.08 = 550.34/x
  3. Step 3: Cross multiply
    837.08x = 1,258.08 × 550.34
  4. Step 4: Simplify right side
    837.08x = 692,371.75
  5. Step 5: Solve for x
    x = 692,371.75/837.08
  6. Step 6: Final answer
    x = 827.13

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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.