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Finding the Fourth Proportional to 869.23, 1,200.02 and 575.00

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Solution

The fourth proportional to 869.23, 1,200.02 and 575.00 is: 793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.23 : 1,200.02 = 575.00 : x
  2. Step 2: Convert to fraction form
    869.23/1,200.02 = 575.00/x
  3. Step 3: Cross multiply
    869.23x = 1,200.02 × 575.00
  4. Step 4: Simplify right side
    869.23x = 690,007.12
  5. Step 5: Solve for x
    x = 690,007.12/869.23
  6. Step 6: Final answer
    x = 793.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.