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Finding the Fourth Proportional to 1,422.78, 2,134.61 and 729.94

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Solution

The fourth proportional to 1,422.78, 2,134.61 and 729.94 is: 1,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.78 : 2,134.61 = 729.94 : x
  2. Step 2: Convert to fraction form
    1,422.78/2,134.61 = 729.94/x
  3. Step 3: Cross multiply
    1,422.78x = 2,134.61 × 729.94
  4. Step 4: Simplify right side
    1,422.78x = 1,558,137.22
  5. Step 5: Solve for x
    x = 1,558,137.22/1,422.78
  6. Step 6: Final answer
    x = 1,095.14

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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.