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Finding the Fourth Proportional to 1,172.61, 1,757.88 and 441.68

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Solution

The fourth proportional to 1,172.61, 1,757.88 and 441.68 is: 662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.61 : 1,757.88 = 441.68 : x
  2. Step 2: Convert to fraction form
    1,172.61/1,757.88 = 441.68/x
  3. Step 3: Cross multiply
    1,172.61x = 1,757.88 × 441.68
  4. Step 4: Simplify right side
    1,172.61x = 776,411.65
  5. Step 5: Solve for x
    x = 776,411.65/1,172.61
  6. Step 6: Final answer
    x = 662.12

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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.