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Finding the Fourth Proportional to 1,172.64, 1,759.20 and 403.04

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Solution

The fourth proportional to 1,172.64, 1,759.20 and 403.04 is: 604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.64 : 1,759.20 = 403.04 : x
  2. Step 2: Convert to fraction form
    1,172.64/1,759.20 = 403.04/x
  3. Step 3: Cross multiply
    1,172.64x = 1,759.20 × 403.04
  4. Step 4: Simplify right side
    1,172.64x = 709,027.97
  5. Step 5: Solve for x
    x = 709,027.97/1,172.64
  6. Step 6: Final answer
    x = 604.64

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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.