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Finding the Fourth Proportional to 951.89, 1,433.54 and 837.58

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Solution

The fourth proportional to 951.89, 1,433.54 and 837.58 is: 1,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.89 : 1,433.54 = 837.58 : x
  2. Step 2: Convert to fraction form
    951.89/1,433.54 = 837.58/x
  3. Step 3: Cross multiply
    951.89x = 1,433.54 × 837.58
  4. Step 4: Simplify right side
    951.89x = 1,200,704.43
  5. Step 5: Solve for x
    x = 1,200,704.43/951.89
  6. Step 6: Final answer
    x = 1,261.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.