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Finding the Fourth Proportional to 1,126.69, 1,687.57 and 929.49

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Solution

The fourth proportional to 1,126.69, 1,687.57 and 929.49 is: 1,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.69 : 1,687.57 = 929.49 : x
  2. Step 2: Convert to fraction form
    1,126.69/1,687.57 = 929.49/x
  3. Step 3: Cross multiply
    1,126.69x = 1,687.57 × 929.49
  4. Step 4: Simplify right side
    1,126.69x = 1,568,579.44
  5. Step 5: Solve for x
    x = 1,568,579.44/1,126.69
  6. Step 6: Final answer
    x = 1,392.20

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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.