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Finding the Fourth Proportional to 1,289.43, 1,778.90 and 729.74

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Solution

The fourth proportional to 1,289.43, 1,778.90 and 729.74 is: 1,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.43 : 1,778.90 = 729.74 : x
  2. Step 2: Convert to fraction form
    1,289.43/1,778.90 = 729.74/x
  3. Step 3: Cross multiply
    1,289.43x = 1,778.90 × 729.74
  4. Step 4: Simplify right side
    1,289.43x = 1,298,135.28
  5. Step 5: Solve for x
    x = 1,298,135.28/1,289.43
  6. Step 6: Final answer
    x = 1,006.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.