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Finding the Fourth Proportional to 1,172.60, 1,758.42 and 441.78

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Solution

The fourth proportional to 1,172.60, 1,758.42 and 441.78 is: 662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.60 : 1,758.42 = 441.78 : x
  2. Step 2: Convert to fraction form
    1,172.60/1,758.42 = 441.78/x
  3. Step 3: Cross multiply
    1,172.60x = 1,758.42 × 441.78
  4. Step 4: Simplify right side
    1,172.60x = 776,834.79
  5. Step 5: Solve for x
    x = 776,834.79/1,172.60
  6. Step 6: Final answer
    x = 662.49

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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.