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Finding the Fourth Proportional to 837.89, 1,256.16 and 512.58

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Solution

The fourth proportional to 837.89, 1,256.16 and 512.58 is: 768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.89 : 1,256.16 = 512.58 : x
  2. Step 2: Convert to fraction form
    837.89/1,256.16 = 512.58/x
  3. Step 3: Cross multiply
    837.89x = 1,256.16 × 512.58
  4. Step 4: Simplify right side
    837.89x = 643,879.18
  5. Step 5: Solve for x
    x = 643,879.18/837.89
  6. Step 6: Final answer
    x = 768.45

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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.