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Finding the Fourth Proportional to 1,126.44, 1,689.93 and 433.15

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Solution

The fourth proportional to 1,126.44, 1,689.93 and 433.15 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.44 : 1,689.93 = 433.15 : x
  2. Step 2: Convert to fraction form
    1,126.44/1,689.93 = 433.15/x
  3. Step 3: Cross multiply
    1,126.44x = 1,689.93 × 433.15
  4. Step 4: Simplify right side
    1,126.44x = 731,988.95
  5. Step 5: Solve for x
    x = 731,988.95/1,126.44
  6. Step 6: Final answer
    x = 649.83

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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.