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Finding the Fourth Proportional to 1,161.99, 1,743.08 and 468.66

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Solution

The fourth proportional to 1,161.99, 1,743.08 and 468.66 is: 703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.99 : 1,743.08 = 468.66 : x
  2. Step 2: Convert to fraction form
    1,161.99/1,743.08 = 468.66/x
  3. Step 3: Cross multiply
    1,161.99x = 1,743.08 × 468.66
  4. Step 4: Simplify right side
    1,161.99x = 816,909.53
  5. Step 5: Solve for x
    x = 816,909.53/1,161.99
  6. Step 6: Final answer
    x = 703.03

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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.