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Finding the Fourth Proportional to 1,161.80, 1,743.54 and 459.12

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Solution

The fourth proportional to 1,161.80, 1,743.54 and 459.12 is: 689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.80 : 1,743.54 = 459.12 : x
  2. Step 2: Convert to fraction form
    1,161.80/1,743.54 = 459.12/x
  3. Step 3: Cross multiply
    1,161.80x = 1,743.54 × 459.12
  4. Step 4: Simplify right side
    1,161.80x = 800,494.08
  5. Step 5: Solve for x
    x = 800,494.08/1,161.80
  6. Step 6: Final answer
    x = 689.01

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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.