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Finding the Fourth Proportional to 1,194.38, 1,791.56 and 510.38

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Solution

The fourth proportional to 1,194.38, 1,791.56 and 510.38 is: 765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.38 : 1,791.56 = 510.38 : x
  2. Step 2: Convert to fraction form
    1,194.38/1,791.56 = 510.38/x
  3. Step 3: Cross multiply
    1,194.38x = 1,791.56 × 510.38
  4. Step 4: Simplify right side
    1,194.38x = 914,368.71
  5. Step 5: Solve for x
    x = 914,368.71/1,194.38
  6. Step 6: Final answer
    x = 765.56

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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.