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Finding the Fourth Proportional to 1,161.27, 1,741.95 and 420.93

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Solution

The fourth proportional to 1,161.27, 1,741.95 and 420.93 is: 631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.27 : 1,741.95 = 420.93 : x
  2. Step 2: Convert to fraction form
    1,161.27/1,741.95 = 420.93/x
  3. Step 3: Cross multiply
    1,161.27x = 1,741.95 × 420.93
  4. Step 4: Simplify right side
    1,161.27x = 733,239.01
  5. Step 5: Solve for x
    x = 733,239.01/1,161.27
  6. Step 6: Final answer
    x = 631.41

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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.