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Finding the Fourth Proportional to 1,173.39, 1,757.73 and 557.69

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Solution

The fourth proportional to 1,173.39, 1,757.73 and 557.69 is: 835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.39 : 1,757.73 = 557.69 : x
  2. Step 2: Convert to fraction form
    1,173.39/1,757.73 = 557.69/x
  3. Step 3: Cross multiply
    1,173.39x = 1,757.73 × 557.69
  4. Step 4: Simplify right side
    1,173.39x = 980,257.04
  5. Step 5: Solve for x
    x = 980,257.04/1,173.39
  6. Step 6: Final answer
    x = 835.41

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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.