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Finding the Fourth Proportional to 1,189.50, 1,784.25 and 781.23

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Solution

The fourth proportional to 1,189.50, 1,784.25 and 781.23 is: 1,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.50 : 1,784.25 = 781.23 : x
  2. Step 2: Convert to fraction form
    1,189.50/1,784.25 = 781.23/x
  3. Step 3: Cross multiply
    1,189.50x = 1,784.25 × 781.23
  4. Step 4: Simplify right side
    1,189.50x = 1,393,909.63
  5. Step 5: Solve for x
    x = 1,393,909.63/1,189.50
  6. Step 6: Final answer
    x = 1,171.85

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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.