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Finding the Fourth Proportional to 1,126.85, 1,689.83 and 396.26

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Solution

The fourth proportional to 1,126.85, 1,689.83 and 396.26 is: 594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.85 : 1,689.83 = 396.26 : x
  2. Step 2: Convert to fraction form
    1,126.85/1,689.83 = 396.26/x
  3. Step 3: Cross multiply
    1,126.85x = 1,689.83 × 396.26
  4. Step 4: Simplify right side
    1,126.85x = 669,601.61
  5. Step 5: Solve for x
    x = 669,601.61/1,126.85
  6. Step 6: Final answer
    x = 594.22

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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.