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Finding the Fourth Proportional to 1,126.07, 1,553.69 and 683.94

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Solution

The fourth proportional to 1,126.07, 1,553.69 and 683.94 is: 943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.07 : 1,553.69 = 683.94 : x
  2. Step 2: Convert to fraction form
    1,126.07/1,553.69 = 683.94/x
  3. Step 3: Cross multiply
    1,126.07x = 1,553.69 × 683.94
  4. Step 4: Simplify right side
    1,126.07x = 1,062,632.45
  5. Step 5: Solve for x
    x = 1,062,632.45/1,126.07
  6. Step 6: Final answer
    x = 943.67

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Why These Related Problems?

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