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Finding the Fourth Proportional to 783.25, 1,174.87 and 235.43

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Solution

The fourth proportional to 783.25, 1,174.87 and 235.43 is: 353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.25 : 1,174.87 = 235.43 : x
  2. Step 2: Convert to fraction form
    783.25/1,174.87 = 235.43/x
  3. Step 3: Cross multiply
    783.25x = 1,174.87 × 235.43
  4. Step 4: Simplify right side
    783.25x = 276,599.64
  5. Step 5: Solve for x
    x = 276,599.64/783.25
  6. Step 6: Final answer
    x = 353.15

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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.