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Finding the Fourth Proportional to 1,301.64, 1,952.49 and 327.75

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Solution

The fourth proportional to 1,301.64, 1,952.49 and 327.75 is: 491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.64 : 1,952.49 = 327.75 : x
  2. Step 2: Convert to fraction form
    1,301.64/1,952.49 = 327.75/x
  3. Step 3: Cross multiply
    1,301.64x = 1,952.49 × 327.75
  4. Step 4: Simplify right side
    1,301.64x = 639,928.60
  5. Step 5: Solve for x
    x = 639,928.60/1,301.64
  6. Step 6: Final answer
    x = 491.63

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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.