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Finding the Fourth Proportional to 1,394.07, 1,923.87 and 834.63

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Solution

The fourth proportional to 1,394.07, 1,923.87 and 834.63 is: 1,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.07 : 1,923.87 = 834.63 : x
  2. Step 2: Convert to fraction form
    1,394.07/1,923.87 = 834.63/x
  3. Step 3: Cross multiply
    1,394.07x = 1,923.87 × 834.63
  4. Step 4: Simplify right side
    1,394.07x = 1,605,719.62
  5. Step 5: Solve for x
    x = 1,605,719.62/1,394.07
  6. Step 6: Final answer
    x = 1,151.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.