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Finding the Fourth Proportional to 783.25, 1,175.06 and 270.25

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Solution

The fourth proportional to 783.25, 1,175.06 and 270.25 is: 405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.25 : 1,175.06 = 270.25 : x
  2. Step 2: Convert to fraction form
    783.25/1,175.06 = 270.25/x
  3. Step 3: Cross multiply
    783.25x = 1,175.06 × 270.25
  4. Step 4: Simplify right side
    783.25x = 317,559.97
  5. Step 5: Solve for x
    x = 317,559.97/783.25
  6. Step 6: Final answer
    x = 405.44

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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.