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Finding the Fourth Proportional to 1,126.82, 1,689.69 and 396.32

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Solution

The fourth proportional to 1,126.82, 1,689.69 and 396.32 is: 594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.82 : 1,689.69 = 396.32 : x
  2. Step 2: Convert to fraction form
    1,126.82/1,689.69 = 396.32/x
  3. Step 3: Cross multiply
    1,126.82x = 1,689.69 × 396.32
  4. Step 4: Simplify right side
    1,126.82x = 669,657.94
  5. Step 5: Solve for x
    x = 669,657.94/1,126.82
  6. Step 6: Final answer
    x = 594.29

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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.