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Finding the Fourth Proportional to 1,175.35, 1,763.02 and 482.34

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Solution

The fourth proportional to 1,175.35, 1,763.02 and 482.34 is: 723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.35 : 1,763.02 = 482.34 : x
  2. Step 2: Convert to fraction form
    1,175.35/1,763.02 = 482.34/x
  3. Step 3: Cross multiply
    1,175.35x = 1,763.02 × 482.34
  4. Step 4: Simplify right side
    1,175.35x = 850,375.07
  5. Step 5: Solve for x
    x = 850,375.07/1,175.35
  6. Step 6: Final answer
    x = 723.51

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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.