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Finding the Fourth Proportional to 1,172.43, 1,757.98 and 478.29

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Solution

The fourth proportional to 1,172.43, 1,757.98 and 478.29 is: 717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.43 : 1,757.98 = 478.29 : x
  2. Step 2: Convert to fraction form
    1,172.43/1,757.98 = 478.29/x
  3. Step 3: Cross multiply
    1,172.43x = 1,757.98 × 478.29
  4. Step 4: Simplify right side
    1,172.43x = 840,821.05
  5. Step 5: Solve for x
    x = 840,821.05/1,172.43
  6. Step 6: Final answer
    x = 717.16

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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.