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Finding the Fourth Proportional to 783.90, 1,175.82 and 321.54

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Solution

The fourth proportional to 783.90, 1,175.82 and 321.54 is: 482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.90 : 1,175.82 = 321.54 : x
  2. Step 2: Convert to fraction form
    783.90/1,175.82 = 321.54/x
  3. Step 3: Cross multiply
    783.90x = 1,175.82 × 321.54
  4. Step 4: Simplify right side
    783.90x = 378,073.16
  5. Step 5: Solve for x
    x = 378,073.16/783.90
  6. Step 6: Final answer
    x = 482.30

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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.