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Finding the Fourth Proportional to 1,161.26, 1,739.93 and 575.48

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Solution

The fourth proportional to 1,161.26, 1,739.93 and 575.48 is: 862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.26 : 1,739.93 = 575.48 : x
  2. Step 2: Convert to fraction form
    1,161.26/1,739.93 = 575.48/x
  3. Step 3: Cross multiply
    1,161.26x = 1,739.93 × 575.48
  4. Step 4: Simplify right side
    1,161.26x = 1,001,294.92
  5. Step 5: Solve for x
    x = 1,001,294.92/1,161.26
  6. Step 6: Final answer
    x = 862.25

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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.