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Finding the Fourth Proportional to 1,391.17, 2,085.72 and 843.22

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Solution

The fourth proportional to 1,391.17, 2,085.72 and 843.22 is: 1,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.17 : 2,085.72 = 843.22 : x
  2. Step 2: Convert to fraction form
    1,391.17/2,085.72 = 843.22/x
  3. Step 3: Cross multiply
    1,391.17x = 2,085.72 × 843.22
  4. Step 4: Simplify right side
    1,391.17x = 1,758,720.82
  5. Step 5: Solve for x
    x = 1,758,720.82/1,391.17
  6. Step 6: Final answer
    x = 1,264.20

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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.