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Finding the Fourth Proportional to 1,146.26, 1,722.12 and 736.20

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Solution

The fourth proportional to 1,146.26, 1,722.12 and 736.20 is: 1,106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.26 : 1,722.12 = 736.20 : x
  2. Step 2: Convert to fraction form
    1,146.26/1,722.12 = 736.20/x
  3. Step 3: Cross multiply
    1,146.26x = 1,722.12 × 736.20
  4. Step 4: Simplify right side
    1,146.26x = 1,267,824.74
  5. Step 5: Solve for x
    x = 1,267,824.74/1,146.26
  6. Step 6: Final answer
    x = 1,106.05

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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.