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Finding the Fourth Proportional to 1,126.82, 1,689.83 and 433.14

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Solution

The fourth proportional to 1,126.82, 1,689.83 and 433.14 is: 649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.82 : 1,689.83 = 433.14 : x
  2. Step 2: Convert to fraction form
    1,126.82/1,689.83 = 433.14/x
  3. Step 3: Cross multiply
    1,126.82x = 1,689.83 × 433.14
  4. Step 4: Simplify right side
    1,126.82x = 731,926.09
  5. Step 5: Solve for x
    x = 731,926.09/1,126.82
  6. Step 6: Final answer
    x = 649.55

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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.