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Finding the Fourth Proportional to 1,172.93, 1,759.41 and 523.53

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Solution

The fourth proportional to 1,172.93, 1,759.41 and 523.53 is: 785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.93 : 1,759.41 = 523.53 : x
  2. Step 2: Convert to fraction form
    1,172.93/1,759.41 = 523.53/x
  3. Step 3: Cross multiply
    1,172.93x = 1,759.41 × 523.53
  4. Step 4: Simplify right side
    1,172.93x = 921,103.92
  5. Step 5: Solve for x
    x = 921,103.92/1,172.93
  6. Step 6: Final answer
    x = 785.31

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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.