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Finding the Fourth Proportional to 1,323.63, 1,984.68 and 501.38

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Solution

The fourth proportional to 1,323.63, 1,984.68 and 501.38 is: 751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.63 : 1,984.68 = 501.38 : x
  2. Step 2: Convert to fraction form
    1,323.63/1,984.68 = 501.38/x
  3. Step 3: Cross multiply
    1,323.63x = 1,984.68 × 501.38
  4. Step 4: Simplify right side
    1,323.63x = 995,078.86
  5. Step 5: Solve for x
    x = 995,078.86/1,323.63
  6. Step 6: Final answer
    x = 751.78

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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.