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Finding the Fourth Proportional to 783.06, 1,174.53 and 327.06

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Solution

The fourth proportional to 783.06, 1,174.53 and 327.06 is: 490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.06 : 1,174.53 = 327.06 : x
  2. Step 2: Convert to fraction form
    783.06/1,174.53 = 327.06/x
  3. Step 3: Cross multiply
    783.06x = 1,174.53 × 327.06
  4. Step 4: Simplify right side
    783.06x = 384,141.78
  5. Step 5: Solve for x
    x = 384,141.78/783.06
  6. Step 6: Final answer
    x = 490.56

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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.