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Finding the Fourth Proportional to 783.75, 1,175.93 and 321.75

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Solution

The fourth proportional to 783.75, 1,175.93 and 321.75 is: 482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.75 : 1,175.93 = 321.75 : x
  2. Step 2: Convert to fraction form
    783.75/1,175.93 = 321.75/x
  3. Step 3: Cross multiply
    783.75x = 1,175.93 × 321.75
  4. Step 4: Simplify right side
    783.75x = 378,355.48
  5. Step 5: Solve for x
    x = 378,355.48/783.75
  6. Step 6: Final answer
    x = 482.75

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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.