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Finding the Fourth Proportional to 1,323.09, 1,984.70 and 501.48

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Solution

The fourth proportional to 1,323.09, 1,984.70 and 501.48 is: 752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.09 : 1,984.70 = 501.48 : x
  2. Step 2: Convert to fraction form
    1,323.09/1,984.70 = 501.48/x
  3. Step 3: Cross multiply
    1,323.09x = 1,984.70 × 501.48
  4. Step 4: Simplify right side
    1,323.09x = 995,288.61
  5. Step 5: Solve for x
    x = 995,288.61/1,323.09
  6. Step 6: Final answer
    x = 752.25

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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.