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Finding the Fourth Proportional to 1,194.67, 1,791.79 and 501.16

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Solution

The fourth proportional to 1,194.67, 1,791.79 and 501.16 is: 751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.67 : 1,791.79 = 501.16 : x
  2. Step 2: Convert to fraction form
    1,194.67/1,791.79 = 501.16/x
  3. Step 3: Cross multiply
    1,194.67x = 1,791.79 × 501.16
  4. Step 4: Simplify right side
    1,194.67x = 897,962.01
  5. Step 5: Solve for x
    x = 897,962.01/1,194.67
  6. Step 6: Final answer
    x = 751.64

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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.