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Finding the Fourth Proportional to 1,172.27, 1,758.71 and 523.46

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Solution

The fourth proportional to 1,172.27, 1,758.71 and 523.46 is: 785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.27 : 1,758.71 = 523.46 : x
  2. Step 2: Convert to fraction form
    1,172.27/1,758.71 = 523.46/x
  3. Step 3: Cross multiply
    1,172.27x = 1,758.71 × 523.46
  4. Step 4: Simplify right side
    1,172.27x = 920,620.04
  5. Step 5: Solve for x
    x = 920,620.04/1,172.27
  6. Step 6: Final answer
    x = 785.33

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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.