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Finding the Fourth Proportional to 1,314.78, 1,972.11 and 327.57

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Solution

The fourth proportional to 1,314.78, 1,972.11 and 327.57 is: 491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.78 : 1,972.11 = 327.57 : x
  2. Step 2: Convert to fraction form
    1,314.78/1,972.11 = 327.57/x
  3. Step 3: Cross multiply
    1,314.78x = 1,972.11 × 327.57
  4. Step 4: Simplify right side
    1,314.78x = 646,004.07
  5. Step 5: Solve for x
    x = 646,004.07/1,314.78
  6. Step 6: Final answer
    x = 491.34

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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.