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Finding the Fourth Proportional to 1,121.76, 1,546.32 and 826.53

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Solution

The fourth proportional to 1,121.76, 1,546.32 and 826.53 is: 1,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.76 : 1,546.32 = 826.53 : x
  2. Step 2: Convert to fraction form
    1,121.76/1,546.32 = 826.53/x
  3. Step 3: Cross multiply
    1,121.76x = 1,546.32 × 826.53
  4. Step 4: Simplify right side
    1,121.76x = 1,278,079.87
  5. Step 5: Solve for x
    x = 1,278,079.87/1,121.76
  6. Step 6: Final answer
    x = 1,139.35

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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.