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Finding the Fourth Proportional to 1,126.21, 1,689.41 and 304.49

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Solution

The fourth proportional to 1,126.21, 1,689.41 and 304.49 is: 456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.21 : 1,689.41 = 304.49 : x
  2. Step 2: Convert to fraction form
    1,126.21/1,689.41 = 304.49/x
  3. Step 3: Cross multiply
    1,126.21x = 1,689.41 × 304.49
  4. Step 4: Simplify right side
    1,126.21x = 514,408.56
  5. Step 5: Solve for x
    x = 514,408.56/1,126.21
  6. Step 6: Final answer
    x = 456.76

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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.