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Finding the Fourth Proportional to 783.85, 1,175.46 and 321.32

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Solution

The fourth proportional to 783.85, 1,175.46 and 321.32 is: 481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.85 : 1,175.46 = 321.32 : x
  2. Step 2: Convert to fraction form
    783.85/1,175.46 = 321.32/x
  3. Step 3: Cross multiply
    783.85x = 1,175.46 × 321.32
  4. Step 4: Simplify right side
    783.85x = 377,695.74
  5. Step 5: Solve for x
    x = 377,695.74/783.85
  6. Step 6: Final answer
    x = 481.85

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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.