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Finding the Fourth Proportional to 1,161.59, 1,743.12 and 431.19

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Solution

The fourth proportional to 1,161.59, 1,743.12 and 431.19 is: 647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.59 : 1,743.12 = 431.19 : x
  2. Step 2: Convert to fraction form
    1,161.59/1,743.12 = 431.19/x
  3. Step 3: Cross multiply
    1,161.59x = 1,743.12 × 431.19
  4. Step 4: Simplify right side
    1,161.59x = 751,615.91
  5. Step 5: Solve for x
    x = 751,615.91/1,161.59
  6. Step 6: Final answer
    x = 647.06

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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.