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Finding the Fourth Proportional to 1,076.44, 1,614.66 and 752.44

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Solution

The fourth proportional to 1,076.44, 1,614.66 and 752.44 is: 1,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.44 : 1,614.66 = 752.44 : x
  2. Step 2: Convert to fraction form
    1,076.44/1,614.66 = 752.44/x
  3. Step 3: Cross multiply
    1,076.44x = 1,614.66 × 752.44
  4. Step 4: Simplify right side
    1,076.44x = 1,214,934.77
  5. Step 5: Solve for x
    x = 1,214,934.77/1,076.44
  6. Step 6: Final answer
    x = 1,128.66

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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.