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Finding the Fourth Proportional to 1,172.96, 1,759 and 403.28

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Solution

The fourth proportional to 1,172.96, 1,759 and 403.28 is: 604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.96 : 1,759 = 403.28 : x
  2. Step 2: Convert to fraction form
    1,172.96/1,759 = 403.28/x
  3. Step 3: Cross multiply
    1,172.96x = 1,759 × 403.28
  4. Step 4: Simplify right side
    1,172.96x = 709,369.52
  5. Step 5: Solve for x
    x = 709,369.52/1,172.96
  6. Step 6: Final answer
    x = 604.77

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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.