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Finding the Fourth Proportional to 1,126.16, 1,553.82 and 684.05

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Solution

The fourth proportional to 1,126.16, 1,553.82 and 684.05 is: 943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.16 : 1,553.82 = 684.05 : x
  2. Step 2: Convert to fraction form
    1,126.16/1,553.82 = 684.05/x
  3. Step 3: Cross multiply
    1,126.16x = 1,553.82 × 684.05
  4. Step 4: Simplify right side
    1,126.16x = 1,062,882.80
  5. Step 5: Solve for x
    x = 1,062,882.80/1,126.16
  6. Step 6: Final answer
    x = 943.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.