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Finding the Fourth Proportional to 1,322.97, 1,984.14 and 501.63

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Solution

The fourth proportional to 1,322.97, 1,984.14 and 501.63 is: 752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.97 : 1,984.14 = 501.63 : x
  2. Step 2: Convert to fraction form
    1,322.97/1,984.14 = 501.63/x
  3. Step 3: Cross multiply
    1,322.97x = 1,984.14 × 501.63
  4. Step 4: Simplify right side
    1,322.97x = 995,304.15
  5. Step 5: Solve for x
    x = 995,304.15/1,322.97
  6. Step 6: Final answer
    x = 752.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.