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Finding the Fourth Proportional to 1,161.86, 1,741.44 and 430.97

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Solution

The fourth proportional to 1,161.86, 1,741.44 and 430.97 is: 645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.86 : 1,741.44 = 430.97 : x
  2. Step 2: Convert to fraction form
    1,161.86/1,741.44 = 430.97/x
  3. Step 3: Cross multiply
    1,161.86x = 1,741.44 × 430.97
  4. Step 4: Simplify right side
    1,161.86x = 750,508.40
  5. Step 5: Solve for x
    x = 750,508.40/1,161.86
  6. Step 6: Final answer
    x = 645.95

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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.