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Finding the Fourth Proportional to 991.09, 1,486.81 and 333.03

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Solution

The fourth proportional to 991.09, 1,486.81 and 333.03 is: 499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.09 : 1,486.81 = 333.03 : x
  2. Step 2: Convert to fraction form
    991.09/1,486.81 = 333.03/x
  3. Step 3: Cross multiply
    991.09x = 1,486.81 × 333.03
  4. Step 4: Simplify right side
    991.09x = 495,151.19
  5. Step 5: Solve for x
    x = 495,151.19/991.09
  6. Step 6: Final answer
    x = 499.60

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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.